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A decomposition into atoms of distributions on spaces of homogeneous type.(English)Zbl 0431.46019


MSC:

46E15 Banach spaces of continuous, differentiable or analytic functions
42B30 \(H^p\)-spaces
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B25 Maximal functions, Littlewood-Paley theory
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
46F05 Topological linear spaces of test functions, distributions and ultradistributions

Cite

References:

[1]Calderón, A. P., An atomic decomposition of distributions in parabolic \(H^p\) spaces, Advances in Math., 25, 216-225 (1977) ·Zbl 0379.46050
[2]Calderón, A. P.; Torchinsky, A., Parabolic maximal functions associated with a distribution, Advances in Math., 16, 1-63 (1975) ·Zbl 0315.46037
[3]Coifman, R. R., A real variable characterization of \(H^p\), Studia Math., 51, 267-272 (1974) ·Zbl 0289.46037
[4]Coifman, R. R.; Weiss, G., Analyse harmonique non-commutative sur certain espaces homogenes, (Lecture Notes in Mathematics No. 242 (1971), Springer-Verlag: Springer-Verlag Berlin) ·Zbl 0224.43006
[5]Coifman, R. R.; Weiss, G., Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc., 83, 569-645 (1977) ·Zbl 0358.30023
[6]Fefferman, C.; Riviere, N. M.; Sagher, Y., Interpolation between \(H^p\) spaces: The real method, Trans. Amer. Math. Soc., 191, 75-81 (1974) ·Zbl 0285.41006
[7]Fefferman, C.; Stein, E. M., \(H^p\) spaces of several variables, Acta Math., 129, 137-194 (1972) ·Zbl 0257.46078
[8]Latter, R. H., A characterization of \(H^p(R^{n\) ·Zbl 0398.42017
[9]Macías, R. A., Interpolation Theorems on Generalized Hardy Spaces, (Doctoral dissertation (1974), Washington University: Washington University St. Louis, Mo)
[10]Macías, R. A.; Segovia, C., On the decomposition into atoms of distributions on Lipschitz spaces, (Atas do XI Colóquio Brasileiro de Matemática. Atas do XI Colóquio Brasileiro de Matemática, Poços de Caldas (July 1977))
[11]Macías, R. A.; Segovia, C., Lipschitz functions on spaces of homogeneous type, Advances in Math., 33, 257-270 (1979) ·Zbl 0431.46018
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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