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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
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[1] Calderón, A.P, An atomic decomposition of distributions in parabolic Hp 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 Hp, Studia math., 51, 267-272, (1974)
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[6] Fefferman, C; Riviere, N.M; Sagher, Y, Interpolation between Hp spaces: the real method, Trans. amer. math. soc., 191, 75-81, (1974) · Zbl 0285.41006
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[9] Macías, R.A, Interpolation theorems on generalized Hardy spaces, ()
[10] Macías, R.A; Segovia, C, On the decomposition into atoms of distributions on Lipschitz spaces, ()
[11] Macías, R.A; Segovia, C, Lipschitz functions on spaces of homogeneous type, Advances in math., 33, 257-270, (1979) · Zbl 0431.46018
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