Movatterモバイル変換

Edit Profile (opens in new tab)

Xiao, Jie

Co-Author Distance

Author ID:: xiao.jie.1
Published as:: Xiao, Jie;Xiao, J.
Homepage:: https://www.mun.ca/math/people/ppl-faculty/jxiao.php
External Links:: MGP ·Wikidata ·ResearchGate

Documents Indexed:

234 Publications since 1988, including6 Books and16 Additional arXiv Preprints

2 Contributions as Editor

Reviewing Activity:

34 Reviews

Co-Authors:

94 Co-Authors with 149 Joint Publications

2,586 Co-Co-Authors

all top 5

Co-Authors

87	single-authored
14	Liu, Liguang
10	Adams, David Randolph
6	Wang, Yuzhao
6	Wirths, Karl-Joachim
6	Yang, Dachun
5	Zhang, Ning
4	Aulaskari, Rauno
4	Chang, Der-Chen E.
4	Essén, Matts Raguel
4	Hou, Shaoxiong
4	Jiang, Renjin
4	Sun, Yuhua
4	Wang, Chunjie
4	Yuan, Cheng
4	Zhang, Junjie
4	Zhou, Yuan
3	Dafni, Galia
3	Fu, Xing
3	Gauthier, Paul M.
3	Karadzhov, Georgi Eremiev
3	Lappan, Peter A.
3	Li, Junfeng
3	Luo, Shuaibing
3	Milman, Mario Marcos
3	Shi, Shaoguang
3	Wang, Jianfei
3	Xu, Fanheng
3	Yuan, Wen
3	Zhai, Zhichun
3	Zhao, Ruhan
2	Chen, Wengu
2	Jarchow, Hans
2	Jin, Xiaoshang
2	Li, Pengtao
2	Liu, Yu
2	Pérez-González, Fernando
2	Shuang, Zhen
2	Wang, Tuo
2	Xiong, Qi
2	Xu, Wen
2	Yang, Qixiang
2	Ye, Deping
2	Yue, Chengjun
2	Zhang, Gaoyong
2	Zhu, Kehe
1	Chen, Yanping
1	Colesanti, Andrea
1	Ding, Yong
1	Duong, Xuan Thinh
1	Gu, Caixing
1	Gu, Qingsong
1	Guo, Zihua
1	Haberl, Christoph
1	Haddad, Julián E.
1	Hong, Guixiang
1	Janson, Svante
1	Koskela, Pekka
1	Kotilainen, Marko
1	Kurdyka, Krzysztof
1	Latvala, Visa
1	Lenhart, Suzanne M.
1	Li, Dan
1	Li, Kangwei
1	Li, Liguang
1	Li, Weiyang
1	Lombardi, Nico
1	Ludwig, Monika
1	Lv, Xiaofen
1	Montesinos Santalucia, Vicente
1	Ndiaye, Cheikh Birahim
1	Nicolau, Artur
1	Nyström, Kaj
1	Pang, Peter Y. H.
1	Pavlović, Miroslav
1	Peng, Lizhong
1	Salani, Paolo
1	Schuster, Franz E.
1	Shen, Xiechang
1	Song, Liang
1	Stegenga, David A.
1	Tan, Haiou
1	Wang, Hua
1	Wang, Zhuang
1	Wu, Suqing
1	Wulan, Hasi
1	Xu, Shaozhen
1	Yan, Lixin
1	Yan, Xuefang
1	Yang, Deane
1	Zegarlinski, Boguslaw
1	Zhang, Yi Ru-Ya
1	Zhao, Dahong
1	Zhong, Lefan
1	Zhou, Feng

all top 5

Serials

11	Advances in Mathematics
11	The Journal of Geometric Analysis
7	Journal of Differential Equations
7	Journal of Functional Analysis
6	Mathematische Annalen
5	Calculus of Variations and Partial Differential Equations
4	Journal of Mathematical Analysis and Applications
4	Proceedings of the American Mathematical Society
4	Dynamics of Partial Differential Equations
3	Arkiv för Matematik
3	Indiana University Mathematics Journal
3	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3	Complex Variables. Theory and Application
3	Journal de Mathématiques Pures et Appliquées. Neuvième Série
3	Expositiones Mathematicae
3	The Journal of Fourier Analysis and Applications
3	The Asian Journal of Mathematics
3	Comptes Rendus. Mathématique. Académie des Sciences, Paris
3	Advances in Nonlinear Analysis
3	Advances in Analysis and Geometry
2	Bulletin of the Australian Mathematical Society
2	Communications in Mathematical Physics
2	Journal of Mathematical Physics
2	Mathematische Nachrichten
2	Results in Mathematics
2	Advances in Mathematics (Beijing)
2	Approximation Theory and its Applications
2	Acta Scientiarum Naturalium Universitatis Pekinensis
2	Science in China. Series A
2	Communications in Partial Differential Equations
2	Chinese Science Bulletin
2	Potential Analysis
2	Applied and Computational Harmonic Analysis
2	Communications in Contemporary Mathematics
2	Journal of the Australian Mathematical Society
2	Lecture Notes in Mathematics
2	Complex Analysis and Operator Theory
2	Advances in Calculus of Variations
2	Complex Manifolds
2	Annals of Mathematical Sciences and Applications
1	Rocky Mountain Journal of Mathematics
1	Studia Mathematica
1	Acta Mathematica Sinica
1	Acta Scientiarum Mathematicarum
1	Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
1	Annali di Matematica Pura ed Applicata. Serie Quarta
1	Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1	Archiv der Mathematik
1	Bulletin of the Malaysian Mathematical Society. Second Series
1	Canadian Journal of Mathematics
1	Canadian Mathematical Bulletin
1	Illinois Journal of Mathematics
1	International Journal of Mathematics and Mathematical Sciences
1	Integral Equations and Operator Theory
1	Journal of the London Mathematical Society. Second Series
1	Journal für die Reine und Angewandte Mathematik
1	Manuscripta Mathematica
1	Mathematische Zeitschrift
1	Michigan Mathematical Journal
1	Pacific Journal of Mathematics
1	Proceedings of the Edinburgh Mathematical Society. Series II
1	Real Analysis Exchange
1	Tôhoku Mathematical Journal. Second Series
1	Transactions of the American Mathematical Society
1	Journal of Operator Theory
1	Advances in Applied Mathematics
1	Journal of Mathematical Research & Exposition
1	Analysis
1	Note di Matematica
1	Journal of Hunan University
1	Chinese Annals of Mathematics. Series A
1	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1	Hunan Annals of Mathematics
1	Northeastern Mathematical Journal
1	Journal of Xinjiang University. Natural Science
1	Acta Scientiarum Naturalium Universitatis Normalis Hunanensis
1	Forum Mathematicum
1	Systems Science and Mathematical Sciences
1	Journal of Natural Science of Heilongjiang University
1	Journal of the Australian Mathematical Society. Series A
1	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1	Acta Mathematica Scientia
1	Acta Mathematica Sinica. New Series
1	Indagationes Mathematicae. New Series
1	SUT Journal of Mathematics
1	New Zealand Journal of Mathematics
1	Journal of Mathematical Sciences (New York)
1	Electronic Journal of Differential Equations (EJDE)
1	Journal of Huaihua Teacher’s College. Natural Science
1	Bulletin of the Belgian Mathematical Society - Simon Stevin
1	Bulletin des Sciences Mathématiques
1	Advances in Differential Equations
1	Pure and Applied Mathematics
1	Discrete and Continuous Dynamical Systems
1	Taiwanese Journal of Mathematics
1	Chinese Quarterly Journal of Mathematics
1	Journal of Mathematical Fluid Mechanics
1	Journal of the European Mathematical Society (JEMS)
1	Annales Henri Poincaré
1	Advances in Geometry
...and 17 more Serials

all top 5

Fields

98	Functional analysis (46-XX)
80	Functions of a complex variable (30-XX)
70	Potential theory (31-XX)
66	Partial differential equations (35-XX)
47	Harmonic analysis on Euclidean spaces (42-XX)
38	Operator theory (47-XX)
21	Differential geometry (53-XX)
16	Real functions (26-XX)
12	Several complex variables and analytic spaces (32-XX)
9	Convex and discrete geometry (52-XX)
7	Measure and integration (28-XX)
7	Calculus of variations and optimal control; optimization (49-XX)
6	Global analysis, analysis on manifolds (58-XX)
6	Fluid mechanics (76-XX)
3	Approximations and expansions (41-XX)
2	General and overarching topics; collections (00-XX)
2	Geometry (51-XX)
2	Probability theory and stochastic processes (60-XX)
2	Computer science (68-XX)
2	Mechanics of deformable solids (74-XX)
2	Statistical mechanics, structure of matter (82-XX)
1	Field theory and polynomials (12-XX)
1	Numerical analysis (65-XX)
1	Classical thermodynamics, heat transfer (80-XX)
1	Relativity and gravitational theory (83-XX)
1	Geophysics (86-XX)
1	Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

169 Publications have been cited 2,883 times in1,454 Documents	Cited by ▼	Year ▼
Holomorphic \(Q\) classes. Zbl 0983.30001 Xiao, Jie	164	2001
Morrey spaces in harmonic analysis. Zbl 1254.31009 Adams, David R.;Xiao, Jie	151	2012
On subspaces and subsets of BMOA and UBC. Zbl 0835.30027 Aulaskari, Rauno;Xiao, Jie;Zhao, Ruhan	130	1995
An asymmetric affine Pólya-Szegő principle. Zbl 1241.26014 Haberl, Christoph;Schuster, Franz E.;Xiao, Jie	111	2012
Nonlinear potential analysis on Morrey spaces and their capacities. Zbl 1100.31009 Adams, David R.;Xiao, Jie	108	2004
Geometric \(Q_p\) functions. Zbl 1104.30036 Xiao, Jie	100	2006
Some subclasses of BMOA and their characterization in terms of Carleson measures. Zbl 0861.30033 Aulaskari, Rauno;Stegenga, David A.;Xiao, Jie	94	1996
\(Q\) spaces of several real variables. Zbl 0984.46020 Essén, Matts;Janson, Svante;Peng, Lizhong;Xiao, Jie	82	2000
Some new tent spaces and duality theorems for fractional Carleson measures and \(Q_{\alpha}(\mathbb R^n)\). Zbl 1062.42011 Dafni, Galia;Xiao, Jie	74	2004
\(L^p\) and BMO bounds of weighted Hardy-Littlewood averages. Zbl 1009.42013 Xiao, J.	72	2001
The Hadamard variational formula and the Minkowski problem for \(p\)-capacity. Zbl 1327.31024 Colesanti, A.;Nyström, K.;Salani, P.;Xiao, J.;Yang, D.;Zhang, G.	65	2015
Old and new Morrey spaces with heat kernel bounds. Zbl 1133.42017 Duong, Xuan Thinh;Xiao, Jie;Yan, Lixin	64	2007
Riemann-Stieltjes operators on weighted Bloch and Bergman spaces of the unit ball. Zbl 1064.47034 Xiao, Jie	63	2004
Sharp convex Lorentz-Sobolev inequalities. Zbl 1220.26020 Ludwig, Monika;Xiao, Jie;Zhang, Gaoyong	63	2011
Several function-theoretic characterizations of Möbius invariant \(\mathcal Q_K\) spaces. Zbl 1089.30049 Essén, Matts;Wulan, Hasi;Xiao, Jie	58	2006
The \({\mathcal Q}_p\) Carleson measure problem. Zbl 1142.30021 Xiao, Jie	56	2008
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system. Zbl 1147.42008 Xiao, Jie	51	2007
Some results on \(Q_ p\) spaces, \(0<p<1\). Zbl 0866.30027 Essén, Matts;Xiao, Jie	43	1997
Strong type estimates for homogeneous Besov capacities. Zbl 1056.31008 Adams, D. R.;Xiao, J.	42	2003
Composition operators associated with Bloch-type spaces. Zbl 1044.47020 Xiao, J.	41	2001
Bounded functions in Möbius invariant Dirichlet spaces. Zbl 0886.30036 Nicolau, Artur;Xiao, Jie	38	1997
Cesàro-type operators on Hardy, \(BMOA\) and Bloch spaces. Zbl 0870.30026 Xiao, Jie	34	1997
Global mild solutions to modified Navier-Stokes equations with small initial data in critical Besov-Q spaces. Zbl 1301.35091 Li, Pengtao;Xiao, Jie;Yang, Qixiang	34	2014
The sharp Sobolev and isoperimetric inequalities split twice. Zbl 1125.26026 Xiao, Jie	32	2007
On fractional capacities relative to bounded open Lipschitz sets. Zbl 1348.31001 Shi, Shaoguang;Xiao, Jie	29	2016
Fractional capacities relative to bounded open Lipschitz sets complemented. Zbl 1362.31002 Shi, S.;Xiao, J.	27	2017
Homogeneous endpoint Besov space embeddings by Hausdorff capacity and heat equation. Zbl 1104.46022 Xiao, Jie	26	2006
Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms. Zbl 1307.46027 Xiao, J.;Zhai, Zh.	25	2010
A sharp Sobolev trace inequality for the fractional-order derivatives. Zbl 1096.46019 Xiao, Jie	23	2006
Morrey potentials and harmonic maps. Zbl 1229.31006 Adams, David R.;Xiao, Jie	23	2011
Volume integral means of holomorphic functions. Zbl 1215.32002 Xiao, Jie;Zhu, Kehe	23	2011
Carleson measure, atomic decomposition and free interpolation from Bloch space. Zbl 0816.30025 Xiao, Jie	21	1994
Regularity of Morrey commutators. Zbl 1293.42012 Adams, David R.;Xiao, Jie	21	2012
Limits of higher-order Besov spaces and sharp reiteration theorems. Zbl 1102.46022 Karadzhov, G. E.;Milman, M.;Xiao, J.	19	2005
The dyadic structure and atomic decomposition of \(Q\) spaces in several real variables. Zbl 1129.42400 Dafni, Galia;Xiao, Jie	19	2005
The \(Q_ p\) corona theorem. Zbl 1041.46020 Xiao, Jie	19	2000
Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants. Zbl 1366.46022 Jiang, Renjin;Xiao, Jie;Yang, Dachun	19	2016
On \(\alpha\)-Bloch spaces and multipliers of Dirichlet spaces. Zbl 0892.30030 Aulaskari, Rauno;Lappan, Peter;Xiao, Jie;Zhao, Ruhan	18	1997
Analytic Campanato spaces and their compositions. Zbl 1333.30068 Xiao, Jie;Yuan, Cheng	18	2015
Composition operators between analytic Campanato spaces. Zbl 1301.30056 Xiao, Jie;Xu, Wen	16	2014
Optimal geometric estimates for fractional Sobolev capacities. (Estimées géométriques optimales pour les capacités fractionnelles de Sobolev.) Zbl 1361.31009 Xiao, Jie	16	2016
A tracing of the fractional temperature field. Zbl 1394.35209 Shi, ShaoGuang;Xiao, Jie	15	2017
Regularity and capacity for the fractional dissipative operator. Zbl 1333.35324 Jiang, Renjin;Xiao, Jie;Yang, Dachun;Zhai, Zhichun	15	2015
Homogeneous Campanato-Sobolev classes. Zbl 1320.31016 Wang, Yuzhao;Xiao, Jie	15	2015
Sharp well-posedness for the Benjamin equation. Zbl 1229.35241 Chen, W.;Guo, Z.;Xiao, J.	15	2011
The \(\overline{\partial}\)-problem for multipliers of the Sobolev space. Zbl 1049.30025 Xiao, Jie	15	1998
Recognizing \(\mathfrak{Q}_{p,0}\) functions per Dirichlet space structure. Zbl 0989.30024 Wirths, K. J.;Xiao, J.	15	2001
Restricting Riesz-Morrey-Hardy potentials. Zbl 1364.31001 Liu, Liguang;Xiao, Jie	15	2017
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited. Zbl 1302.35303 Xiao, Jie	15	2014
Weighted scale estimations for Calderón-Zygmund type operators. Zbl 1188.42004 Chang, Der-Chen;Li, Jun-Feng;Xiao, Jie	14	2007
Carleson embeddings for Sobolev spaces via heat equation. Zbl 1104.31004 Xiao, Jie	14	2006
A quasiconformal composition problem for the \(Q\)-spaces. Zbl 1372.42017 Koskela, Pekka;Xiao, Jie;Zhang, Yi Ru-Ya;Zhou, Yuan	14	2017
BiBloch-type maps: existence and beyond. Zbl 1026.30035 Gauthier, Paul M.;Xiao, Jie	13	2002
Restrictions of Riesz-Morrey potentials. Zbl 1364.31011 Adams, David R.;Xiao, Jie	13	2016
Gaussian capacity analysis. Zbl 1412.60004 Liu, Liguang;Xiao, Jie;Yang, Dachun;Yuan, Wen	12	2018
Composition operators between Nevanlinna classes and Bergman spaces with weights. Zbl 0996.47031 Jarchow, Hans;Xiao, Jie	12	2001
The \(p\)-affine capacity. Zbl 1408.52011 Xiao, Jie	12	2016
\(L^q\)-extensions of \(L^p\)-spaces by fractional diffusion equations. Zbl 1303.31007 Chang, Der-Chen;Xiao, Jie	12	2015
An image-area inequality for some planar holomorphic maps. Zbl 0954.30017 Wirths, K. J.;Xiao, J.	11	2000
Anisotropic Sobolev capacity with fractional order. Zbl 1381.46034 Xiao, Jie;Ye, Deping	11	2017
\(P\)-capacity vs surface-area. Zbl 1361.31008 Xiao, Jie	11	2017
A trace law for the Hardy-Morrey-Sobolev space. Zbl 1379.31011 Liu, Liguang;Xiao, Jie	11	2018
The logarithmic Sobolev capacity. Zbl 1477.31023 Liu, Liguang;Wu, Suqing;Xiao, Jie;Yuan, Wen	10	2021
A new perspective on the Riesz potential. Zbl 1368.31002 Xiao, Jie	10	2017
The \(\infty\)-Besov capacity problem. Zbl 1383.31005 Milman, M.;Xiao, J.	10	2017
Some essential properties of \(Q_p(\partial\Delta)\)-spaces. Zbl 0960.42011 Xiao, Jie	10	2000
Well/ill-posedness for the dissipative Navier-Stokes system in generalized Carleson measure spaces. Zbl 1421.35256 Wang, Yuzhao;Xiao, Jie	10	2019
Gaussian \(\mathcal{BV}\) capacity. Zbl 1342.28029 Xiao, Jie	10	2016
Analytic Campanato spaces by functionals and operators. Zbl 1361.30101 Wang, J.;Xiao, J.	9	2016
Logarithmic convexity of area integral means for analytic functions. II. Zbl 1316.30050 Wang, Chunjie;Xiao, Jie;Zhu, Kehe	9	2015
Corrigendum to: “The sharp Sobolev and isoperimetric inequalities split twice”. Zbl 1304.26022 Xiao, Jie	9	2015
A constructive approach to positive solutions of \(\delta_pu+f(u,u)\) on Riemannian manifolds. Zbl 1353.58009 Wang, Yuzhao;Xiao, Jie	9	2016
Global integral criteria for composition operators. Zbl 1015.30017 Wirths, K.-J.;Xiao, J.	8	2002
A mixed volumetry for the anisotropic logarithmic potential. Zbl 1412.31006 Hou, S.;Xiao, J.	8	2018
Some results on \(Q_p\) spaces, \(0<p<1\), continued. Zbl 1077.30048 Xiao, Jie	8	2005
A sharp bilinear estimate for the Bourgain-type space with application to the Benjamin equation. Zbl 1228.35198 Chen, Wengu;Xiao, Jie	8	2010
Geometrical logarithmic capacitance. Zbl 1436.31010 Xiao, Jie	8	2020
Well-posedness of the fifth order Kadomtsev-Petviashvili I equation in anisotropic Sobolev spaces with nonnegative indices. Zbl 1154.35016 Li, Junfeng;Xiao, Jie	8	2008
Gaussian integral means of entire functions. Zbl 1303.30024 Wang, Chunjie;Xiao, Jie	8	2014
Global positive solution to a semi-linear parabolic equation with potential on Riemannian manifold. Zbl 1448.58020 Gu, Qingsong;Sun, Yuhua;Xiao, Jie;Xu, Fanheng	8	2020
Exploiting log-capacity in convex geometry. Zbl 1402.31006 Xiao, Jie	7	2018
Riemann-Stieltjes operators between weighted Bergman spaces. Zbl 1186.47034 Xiao, Jie	7	2007
On little Bloch space, its Carleson measure, atomic decomposition and free interpolation. Zbl 0845.30023 Xiao, Jie;Zhong, Lefan	7	1995
Pseudo-Carleson measures for weighted Bergman spaces. Zbl 1010.46026 Xiao, J.	7	2000
Flux & radii within the subconformal capacity. Zbl 1469.31021 Xiao, Jie;Zhang, Ning	7	2021
A trace problem for associate Morrey potentials. Zbl 1398.31004 Xiao, Jie	7	2018
Hankel measures on Hardy space. Zbl 0977.30019 Xiao, Jie	7	2000
A uniqueness principle for \(u^p \leq(-\Delta)^{\frac{\alpha}{2}}u\) in the Euclidean space. Zbl 1351.35256 Wang, Y.;Xiao, J.	7	2016
An upper bound of the total Q-curvature and its isoperimetric deficit for higher-dimensional conformal Euclidean metrics. Zbl 1198.53009 Ndiaye, C. B.;Xiao, J.	7	2010
The \(p\)-harmonic capacity of an asymptotically flat 3-manifold with non-negative scalar curvature. Zbl 1345.83014 Xiao, Jie	7	2016
\(Q_\alpha\) analysis on Euclidean spaces. Zbl 1508.46002 Xiao, Jie	7	2019
Composition operators: \({\mathcal N}_\alpha\) to the Bloch space to \({\mathcal Q}_\beta\). Zbl 0963.30021 Xiao, Jie	6	2000
The existence of universal inner functions on the unit ball of \(\mathbb C^n\). Zbl 1105.32003 Gauthier, P. M.;Xiao, J.	6	2005
Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces. Zbl 06815228 Gu, Caixing;Luo, Shuaibing;Xiao, Jie	6	2017
Classes of Carleson-type measures generated by capacities. Zbl 1139.46029 Dafni, G.;Karadzhov, G. E.;Xiao, J.	6	2008
Weighted integral means of mixed areas and lengths under holomorphic mappings. Zbl 1313.32024 Xiao, Jie;Xu, Wen	6	2014
Erratum to: “Morrey potentials and harmonic maps”. Zbl 1332.31014 Adams, David R.;Xiao, Jie	6	2015
A reverse BMO-Hardy inequality. Zbl 1015.42001 Xiao, Jie	6	2000
Morrey potentials from Campanato classes. Zbl 1404.31021 Liu, Liguang;Xiao, Jie	6	2018
The transport equation in the scaling invariant Besov or Essén-Janson-Peng-Xiao space. Zbl 1412.35068 Xiao, Jie	6	2019
Quasilinear Laplace equations and inequalities with fractional orders. Zbl 1532.35489 Liu, Liguang;Sun, Yuhua;Xiao, Jie	2	2024
Potentials and partial differential equations. The legacy of David R. Adams. Zbl 1515.31001	1	2023
An uncertainty principle on the Lorentz spaces. Zbl 1527.42009 Fu, Xing;Xiao, Jie	1	2023
Divergence & curl with fractional order. Zbl 1496.35434 Liu, Liguang;Xiao, Jie	5	2022
A sharp Liouville principle for \(\Delta_m u+u^p\|\nabla u\|^q\le 0\) on geodesically complete noncompact Riemannian manifolds. Zbl 1539.53049 Sun, Yuhua;Xiao, Jie;Xu, Fanheng	4	2022
\(\bar{\partial}\)-equation look at analytic Hilbert’s zero-locus theorem. Zbl 1492.30066 Lv, Xiaofen;Xiao, Jie;Yuan, Cheng	2	2022
Cauchy-Riemann \(\bar{\partial}\)-equations with some applications. Zbl 1496.32058 Xiao, Jie;Yuan, Cheng	2	2022
Affine mixed Rayleigh quotients. Zbl 1495.35139 Haddad, Julian;Xiao, Jie	2	2022
\(L^p\)-uncertainty principle via fractional Schrödinger equation. Zbl 1483.35227 Xiao, Jie	2	2022
The logarithmic Sobolev capacity. Zbl 1477.31023 Liu, Liguang;Wu, Suqing;Xiao, Jie;Yuan, Wen	10	2021
Flux & radii within the subconformal capacity. Zbl 1469.31021 Xiao, Jie;Zhang, Ning	7	2021
Fractional Hardy-Sobolev \(L^1\)-embedding per capacity-duality. Zbl 1460.31015 Liu, Liguang;Xiao, Jie	5	2021
Fractional differential operators and divergence equations. Zbl 1479.35679 Liu, Liguang;Xiao, Jie	4	2021
An upbound of Hausdorff’s dimension of the divergence set of the fractional Schrödinger operator on \(H^s(\mathbb{R}^n)\). Zbl 1513.42101 Li, Dan;Li, Junfeng;Xiao, Jie	1	2021
Geometrical logarithmic capacitance. Zbl 1436.31010 Xiao, Jie	8	2020
Global positive solution to a semi-linear parabolic equation with potential on Riemannian manifold. Zbl 1448.58020 Gu, Qingsong;Sun, Yuhua;Xiao, Jie;Xu, Fanheng	8	2020
Prescribing capacitary curvature measures on planar convex domains. Zbl 1445.52001 Xiao, Jie	5	2020
A new capacity for the affine bounded variation. Zbl 1470.46060 Wang, Tuo;Xiao, Jie	4	2020
Morrey’s fractional integrals in Campanato-Sobolev’s space and \(\operatorname{div}F=f\). Zbl 1462.46041 Liu, Liguang;Xiao, Jie	3	2020
Bochner-Riesz means of Morrey functions. Zbl 1428.42016 Adams, David R.;Xiao, Jie	3	2020
Analytic \(Q_{\log,p}\) spaces. Zbl 1435.30146 Luo, S.;Xiao, J.	1	2020
Affine Poisson & non-Poisson trace principles for \(\dot{H}^{- 1 < - \alpha \leq - \frac{ 1}{ 2}}(\mathbb{R}^{n - 1 \geq 2})\). Zbl 1436.35013 Lombardi, N.;Xiao, J.	1	2020
Well/ill-posedness for the dissipative Navier-Stokes system in generalized Carleson measure spaces. Zbl 1421.35256 Wang, Yuzhao;Xiao, Jie	10	2019
\(Q_\alpha\) analysis on Euclidean spaces. Zbl 1508.46002 Xiao, Jie	7	2019
The transport equation in the scaling invariant Besov or Essén-Janson-Peng-Xiao space. Zbl 1412.35068 Xiao, Jie	6	2019
Flow with \(A_\infty(\mathbb{R})\) density and transport equation in \(\text{BMO}(\mathbb{R})\). Zbl 1428.42035 Jiang, Renjin;Li, Kangwei;Xiao, Jie	4	2019
Mean Hölder-Lipschitz potentials in curved Campanato-Radon spaces and equations \((-\Delta)^{\frac{\alpha}{2}}u=\mu = F_k[u]\). Zbl 1425.35217 Liu, Liguang;Xiao, Jie	4	2019
N-S systems via \(\mathcal{Q}\)-\(\mathcal{Q}^{-1}\) spaces. Zbl 1419.35022 Xiao, Jie;Zhang, Junjie	4	2019
Restriction of heat equation with Newton-Sobolev data on metric measure space. Zbl 1425.30046 Liu, Liguang;Xiao, Jie;Yang, Dachun;Yuan, Wen	3	2019
A reverse quasiconformal composition problem for \(Q_\alpha(\mathbb{R}^n)\). Zbl 1436.30018 Xiao, Jie;Zhou, Yuan	2	2019
Bochner-Riesz operators between Morrey spaces. Zbl 1485.42021 Wang, Hua;Xiao, Jie;Xu, Shaozhen	1	2019
Gaussian capacity analysis. Zbl 1412.60004 Liu, Liguang;Xiao, Jie;Yang, Dachun;Yuan, Wen	12	2018
A trace law for the Hardy-Morrey-Sobolev space. Zbl 1379.31011 Liu, Liguang;Xiao, Jie	11	2018
A mixed volumetry for the anisotropic logarithmic potential. Zbl 1412.31006 Hou, S.;Xiao, J.	8	2018
Exploiting log-capacity in convex geometry. Zbl 1402.31006 Xiao, Jie	7	2018
A trace problem for associate Morrey potentials. Zbl 1398.31004 Xiao, Jie	7	2018
Morrey potentials from Campanato classes. Zbl 1404.31021 Liu, Liguang;Xiao, Jie	6	2018
Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \). Zbl 1394.31006 Liu, Yu;Xiao, Jie	4	2018
Relative \(\infty\)-capacity and its affinization. Zbl 1380.35052 Jiang, Renjin;Xiao, Jie;Yang, Dachun	3	2018
A Liouville problem for the stationary fractional Navier-Stokes-Poisson system. Zbl 1394.35332 Wang, Yuzhao;Xiao, Jie	2	2018
Cordes-Nirenberg’s imbedding and restricting with application to an elliptic equation. Zbl 1402.35101 Hou, S.;Xiao, J.	2	2018
A mixed volume from the anisotropic Riesz-potential. Zbl 1390.52014 Hou, Shaoxiong;Xiao, Jie;Ye, Deping	1	2018
Toeplitz operator for Dirichlet space through Sobolev multiplier algebra. Zbl 1499.47018 Luo, Shuaibing;Xiao, Jie	1	2018
Fractional capacities relative to bounded open Lipschitz sets complemented. Zbl 1362.31002 Shi, S.;Xiao, J.	27	2017
A tracing of the fractional temperature field. Zbl 1394.35209 Shi, ShaoGuang;Xiao, Jie	15	2017
Restricting Riesz-Morrey-Hardy potentials. Zbl 1364.31001 Liu, Liguang;Xiao, Jie	15	2017
A quasiconformal composition problem for the \(Q\)-spaces. Zbl 1372.42017 Koskela, Pekka;Xiao, Jie;Zhang, Yi Ru-Ya;Zhou, Yuan	14	2017
Anisotropic Sobolev capacity with fractional order. Zbl 1381.46034 Xiao, Jie;Ye, Deping	11	2017
\(P\)-capacity vs surface-area. Zbl 1361.31008 Xiao, Jie	11	2017
A new perspective on the Riesz potential. Zbl 1368.31002 Xiao, Jie	10	2017
The \(\infty\)-Besov capacity problem. Zbl 1383.31005 Milman, M.;Xiao, J.	10	2017
Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces. Zbl 06815228 Gu, Caixing;Luo, Shuaibing;Xiao, Jie	6	2017
The \(p\)-affine capacity redux. Zbl 1391.53009 Xiao, Jie	5	2017
Holomorphic Campanato spaces on the unit ball. Zbl 1367.32007 Wang, Jianfei;Xiao, Jie	4	2017
A maximum problem of S.-T. Yau for variational \(p\)-capacity. Zbl 1387.53024 Xiao, Jie	3	2017
Entropy flux – electrostatic capacity – graphical mass. Zbl 1354.31009 Xiao, J.	2	2017
On fractional capacities relative to bounded open Lipschitz sets. Zbl 1348.31001 Shi, Shaoguang;Xiao, Jie	29	2016
Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants. Zbl 1366.46022 Jiang, Renjin;Xiao, Jie;Yang, Dachun	19	2016
Optimal geometric estimates for fractional Sobolev capacities. (Estimées géométriques optimales pour les capacités fractionnelles de Sobolev.) Zbl 1361.31009 Xiao, Jie	16	2016
Restrictions of Riesz-Morrey potentials. Zbl 1364.31011 Adams, David R.;Xiao, Jie	13	2016
The \(p\)-affine capacity. Zbl 1408.52011 Xiao, Jie	12	2016
Gaussian \(\mathcal{BV}\) capacity. Zbl 1342.28029 Xiao, Jie	10	2016
Analytic Campanato spaces by functionals and operators. Zbl 1361.30101 Wang, J.;Xiao, J.	9	2016
A constructive approach to positive solutions of \(\delta_pu+f(u,u)\) on Riemannian manifolds. Zbl 1353.58009 Wang, Yuzhao;Xiao, Jie	9	2016
A uniqueness principle for \(u^p \leq(-\Delta)^{\frac{\alpha}{2}}u\) in the Euclidean space. Zbl 1351.35256 Wang, Y.;Xiao, J.	7	2016
The \(p\)-harmonic capacity of an asymptotically flat 3-manifold with non-negative scalar curvature. Zbl 1345.83014 Xiao, Jie	7	2016
Addendum to “Gaussian integral means of entire functions”. Zbl 1336.30043 Wang, Chunjie;Xiao, Jie	6	2016
The relative \(p\)-affine capacity. Zbl 1406.46028 Xiao, J.;Zhang, N.	5	2016
C. S. I. for Besov spaces \({\dot\Lambda}_{\alpha}^{p, q} ({\mathbb R}^n)\) with \((\alpha, (p, q)) \in (0, 1) \times ((0, 1] \times (0, 1] \setminus \{ (1, 1) \})\). Zbl 1359.46040 Xiao, Jie;Zhai, Zhichun	2	2016
Conformal modulus and its reduction via mean curvatures. Zbl 1338.31012 Xiao, J.	1	2016
The Hadamard variational formula and the Minkowski problem for \(p\)-capacity. Zbl 1327.31024 Colesanti, A.;Nyström, K.;Salani, P.;Xiao, J.;Yang, D.;Zhang, G.	65	2015
Analytic Campanato spaces and their compositions. Zbl 1333.30068 Xiao, Jie;Yuan, Cheng	18	2015
Regularity and capacity for the fractional dissipative operator. Zbl 1333.35324 Jiang, Renjin;Xiao, Jie;Yang, Dachun;Zhai, Zhichun	15	2015
Homogeneous Campanato-Sobolev classes. Zbl 1320.31016 Wang, Yuzhao;Xiao, Jie	15	2015
\(L^q\)-extensions of \(L^p\)-spaces by fractional diffusion equations. Zbl 1303.31007 Chang, Der-Chen;Xiao, Jie	12	2015
Logarithmic convexity of area integral means for analytic functions. II. Zbl 1316.30050 Wang, Chunjie;Xiao, Jie;Zhu, Kehe	9	2015
Corrigendum to: “The sharp Sobolev and isoperimetric inequalities split twice”. Zbl 1304.26022 Xiao, Jie	9	2015
Erratum to: “Morrey potentials and harmonic maps”. Zbl 1332.31014 Adams, David R.;Xiao, Jie	6	2015
Nonnegative solutions of a fractional sub-Laplacian differential inequality on Heisenberg group. Zbl 1335.35264 Liu, Y.;Wang, Y.;Xiao, J.	5	2015
On the variational \(p\)-capacity problem in the plane. Zbl 1315.31001 Xiao, Jie	4	2015
Global mild solutions to modified Navier-Stokes equations with small initial data in critical Besov-Q spaces. Zbl 1301.35091 Li, Pengtao;Xiao, Jie;Yang, Qixiang	34	2014
Composition operators between analytic Campanato spaces. Zbl 1301.30056 Xiao, Jie;Xu, Wen	16	2014
Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited. Zbl 1302.35303 Xiao, Jie	15	2014
Gaussian integral means of entire functions. Zbl 1303.30024 Wang, Chunjie;Xiao, Jie	8	2014
Weighted integral means of mixed areas and lengths under holomorphic mappings. Zbl 1313.32024 Xiao, Jie;Xu, Wen	6	2014
Preduals of quadratic Campanato spaces associated to operators with heat kernel bounds. Zbl 1308.42024 Song, Liang;Xiao, Jie;Yan, Xuefang	4	2014
A limiting weak type estimate for capacitary maximal function. (Une estimation de type faible limite pour la fonction maximale capacitaire.) Zbl 1284.42064 Xiao, Jie;Zhang, Ning	2	2014
Isocapacity estimates for Hessian operators. Zbl 1327.35106 Xiao, Jie;Zhang, Ning	2	2014
Singularities of nonlinear elliptic systems. Zbl 1281.35027 Adams, David R.;Xiao, Jie	2	2013
Morrey spaces in harmonic analysis. Zbl 1254.31009 Adams, David R.;Xiao, Jie	151	2012
An asymmetric affine Pólya-Szegő principle. Zbl 1241.26014 Haberl, Christoph;Schuster, Franz E.;Xiao, Jie	111	2012
Regularity of Morrey commutators. Zbl 1293.42012 Adams, David R.;Xiao, Jie	21	2012
Isoperimetry for semilinear torsion problems in Riemannian two-manifolds. Zbl 1243.49052 Xiao, Jie	2	2012
Sharp convex Lorentz-Sobolev inequalities. Zbl 1220.26020 Ludwig, Monika;Xiao, Jie;Zhang, Gaoyong	63	2011
Morrey potentials and harmonic maps. Zbl 1229.31006 Adams, David R.;Xiao, Jie	23	2011
Volume integral means of holomorphic functions. Zbl 1215.32002 Xiao, Jie;Zhu, Kehe	23	2011
Sharp well-posedness for the Benjamin equation. Zbl 1229.35241 Chen, W.;Guo, Z.;Xiao, J.	15	2011
Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms. Zbl 1307.46027 Xiao, J.;Zhai, Zh.	25	2010
A sharp bilinear estimate for the Bourgain-type space with application to the Benjamin equation. Zbl 1228.35198 Chen, Wengu;Xiao, Jie	8	2010
An upper bound of the total Q-curvature and its isoperimetric deficit for higher-dimensional conformal Euclidean metrics. Zbl 1198.53009 Ndiaye, C. B.;Xiao, J.	7	2010
...and 69 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 1,242 Authors

102	Xiao, Jie
75	Yang, Dachun
46	Li, Pengtao
46	Yuan, Wen
33	Wulan, Hasi
26	Li, Songxiao
24	Liu, Yu
22	Bao, Guanlong
20	Liu, Liguang
20	Qian, Ruishen
20	Sawano, Yoshihiro
19	Shi, Shaoguang
19	Stević, Stevo
18	Liu, Junming
18	Lou, Zengjian
18	Yuan, Cheng
17	Yang, Qixiang
16	Fu, Zunwei
15	Duong, Dao Van
15	Mizuta, Yoshihiro
15	Rättyä, Jouni
15	Shimomura, Tetsu
15	Wang, Weidong
15	Zhai, Zhichun
14	Girela, Daniel
14	Zhao, Changjian
14	Zhu, Xiangling
12	Nguyen Minh Chuong
12	Zhang, Xuejun
12	Zhao, Ruhan
11	Aulaskari, Rauno
11	Montenegro, Marcos
11	Sun, Yuhua
11	Tanaka, Hitoshi
11	Zhou, Zehua
10	Ahmed, Ahmed El-Sayed
10	Chamorro, Diego
10	Haroske, Dorothee D.
10	Huang, Jizheng
10	Peláez, José Ángel
10	Wu, Qingyan
10	Yang, Sibei
10	Zhou, Jiazu
10	Zhou, Jizhen
10	Zhuo, Ciqiang
9	Adams, David Randolph
9	Chang, Der-Chen E.
9	Galanopoulos, Petros
9	Ohno, Takao
9	Pau, Jordi
9	Tao, Jin
9	Ye, Fangqin
9	Zhu, Kehe
8	Fang, Niufa
8	Haddad, Julián E.
8	Jiang, Renjin
8	Li, Bo
8	Lin, Youjiang
8	Lu, Shanzhen
8	Ma, Bolin
8	Merchán, Noel
8	Reséndis Ocampo, Lino Feliciano
8	Skrzypczak, Leszek
8	Tovar, Luis Manuel
8	Volosivets, Sergeĭ Sergeevich
8	Wang, Maofa
8	Yang, Wenwan
8	Ye, Deping
7	Doubtsov, Evgueni Sergeevich
7	Dung, Kieu Huu
7	Ho, Kwok-Pun
7	Hu, Lian
7	Lin, Qingze
7	Naik, Sunanda
7	Ooi, Keng Hao
7	Pérez-González, Fernando
7	Wang, Chunjie
7	Wang, Hejun
7	Yang, Minghua
7	Zhang, Chao
7	Zhu, Baocheng
6	Cao, Jun
6	Chen, Shaolin
6	Colesanti, Andrea
6	Feng, Yibin
6	Haberl, Christoph
6	Hu, Jinrong
6	Liu, Yongmin
6	Luo, Shuaibing
6	Mazzieri, Lorenzo
6	Ramos-Fernández, Julio C.
6	Rosenthal, Marcel
6	Samko, Stefan Grigor’evich
6	Sharma, Ajay Kumar
6	Tong, Cezhong
6	Wang, Guanglan
6	Wu, Yuchi
6	Xiong, Ge
6	Yang, Deane
6	Yang, Liu
...and 1,142 more Authors

all top 5

Cited in 250 Serials

137	Journal of Mathematical Analysis and Applications
61	The Journal of Geometric Analysis
53	Journal of Functional Analysis
34	Complex Variables and Elliptic Equations
33	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
33	Complex Analysis and Operator Theory
32	Proceedings of the American Mathematical Society
30	Science China. Mathematics
29	Advances in Mathematics
27	Journal of Function Spaces
25	Journal of Inequalities and Applications
23	Journal of Differential Equations
23	Calculus of Variations and Partial Differential Equations
20	Mathematical Methods in the Applied Sciences
20	Mathematische Nachrichten
19	Acta Mathematica Scientia. Series B. (English Edition)
17	Rocky Mountain Journal of Mathematics
17	Advances in Applied Mathematics
17	Abstract and Applied Analysis
17	Acta Mathematica Sinica. English Series
15	Transactions of the American Mathematical Society
13	Integral Equations and Operator Theory
13	\(p\)-Adic Numbers, Ultrametric Analysis, and Applications
12	Bulletin of the Australian Mathematical Society
12	Potential Analysis
11	Mathematische Annalen
11	Mathematische Zeitschrift
11	Taiwanese Journal of Mathematics
11	Revista Matemática Complutense
11	Banach Journal of Mathematical Analysis
11	Annals of Functional Analysis
10	Canadian Mathematical Bulletin
10	Results in Mathematics
10	Mathematical Inequalities & Applications
10	Journal of the Australian Mathematical Society
10	Analysis and Mathematical Physics
9	Georgian Mathematical Journal
9	Bulletin des Sciences Mathématiques
9	Annales Academiae Scientiarum Fennicae. Mathematica
9	Bulletin of the Malaysian Mathematical Sciences Society. Second Series
9	Mediterranean Journal of Mathematics
9	Boundary Value Problems
8	Applicable Analysis
8	Journal d’Analyse Mathématique
8	Applied Mathematics and Computation
8	Forum Mathematicum
8	Computational Methods and Function Theory
8	Frontiers of Mathematics in China
8	Journal of Mathematical Inequalities
8	Advances in Calculus of Variations
8	Advances in Nonlinear Analysis
7	Archiv der Mathematik
7	Bulletin of the Korean Mathematical Society
7	Journal of Mathematical Sciences (New York)
7	Nonlinear Analysis. Real World Applications
7	Journal of Function Spaces and Applications
7	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6	Analysis Mathematica
6	Annales Polonici Mathematici
6	Collectanea Mathematica
6	Czechoslovak Mathematical Journal
6	Zeitschrift für Analysis und ihre Anwendungen
6	Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
6	Filomat
6	Integral Transforms and Special Functions
6	The Journal of Fourier Analysis and Applications
6	Comptes Rendus. Mathématique. Académie des Sciences, Paris
5	Arkiv för Matematik
5	Journal of Approximation Theory
5	Memoirs of the American Mathematical Society
5	Revista Matemática Iberoamericana
5	Journal of Integral Equations and Applications
5	Indagationes Mathematicae. New Series
5	The Journal of Analysis
5	Advanced Nonlinear Studies
5	Analysis and Applications (Singapore)
5	Journal of Applied Analysis and Computation
5	Journal of Elliptic and Parabolic Equations
5	AIMS Mathematics
4	Computers & Mathematics with Applications
4	Nonlinearity
4	Glasgow Mathematical Journal
4	Nagoya Mathematical Journal
4	Chinese Annals of Mathematics. Series B
4	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4	Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4	Russian Mathematics
4	Positivity
4	Discrete and Continuous Dynamical Systems. Series S
4	Journal of Nonlinear Science and Applications
4	Journal of Pseudo-Differential Operators and Applications
4	Kyoto Journal of Mathematics
4	La Matematica
3	Journal of Mathematical Physics
3	Mathematical Notes
3	Studia Mathematica
3	Annali di Matematica Pura ed Applicata. Serie Quarta
3	International Journal of Mathematics and Mathematical Sciences
3	Monatshefte für Mathematik
3	Numerical Functional Analysis and Optimization
...and 150 more Serials

all top 5

Cited in 45 Fields

502	Functional analysis (46-XX)
409	Functions of a complex variable (30-XX)
408	Operator theory (47-XX)
393	Harmonic analysis on Euclidean spaces (42-XX)
308	Partial differential equations (35-XX)
164	Convex and discrete geometry (52-XX)
146	Potential theory (31-XX)
128	Several complex variables and analytic spaces (32-XX)
114	Real functions (26-XX)
48	Fluid mechanics (76-XX)
47	Differential geometry (53-XX)
24	Measure and integration (28-XX)
21	Abstract harmonic analysis (43-XX)
20	Calculus of variations and optimal control; optimization (49-XX)
19	Ordinary differential equations (34-XX)
19	Global analysis, analysis on manifolds (58-XX)
16	Integral equations (45-XX)
11	Topological groups, Lie groups (22-XX)
11	Biology and other natural sciences (92-XX)
7	Approximations and expansions (41-XX)
7	Systems theory; control (93-XX)
6	Difference and functional equations (39-XX)
5	Special functions (33-XX)
5	Dynamical systems and ergodic theory (37-XX)
5	Integral transforms, operational calculus (44-XX)
5	Geometry (51-XX)
4	Optics, electromagnetic theory (78-XX)
3	Field theory and polynomials (12-XX)
3	Probability theory and stochastic processes (60-XX)
3	Numerical analysis (65-XX)
3	Mechanics of deformable solids (74-XX)
3	Relativity and gravitational theory (83-XX)
2	Manifolds and cell complexes (57-XX)
2	Information and communication theory, circuits (94-XX)
1	History and biography (01-XX)
1	Mathematical logic and foundations (03-XX)
1	Combinatorics (05-XX)
1	Number theory (11-XX)
1	Algebraic geometry (14-XX)
1	Linear and multilinear algebra; matrix theory (15-XX)
1	Sequences, series, summability (40-XX)
1	Algebraic topology (55-XX)
1	Quantum theory (81-XX)
1	Statistical mechanics, structure of matter (82-XX)
1	Geophysics (86-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under aCreative Commons CC0 License. Updates and corrections should be madein Wikidata.

Movatterモバイル変換

Examples

Fields

Operators

Xiao, Jie

Co-Authors

Serials

Fields

Publications by Year

Citations contained in zbMATH Open

Cited by 1,242 Authors

Cited in 250 Serials

Cited in 45 Fields

Citations by Year

Wikidata Timeline