×
Macias, Roberto A.; Segovia, Carlos

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

Adv. Math. 33, 271-309 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0431.46019

Cited in 5 Reviews
Cited in 110 Documents

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

Keywords:

Hp-spaces; decompositions into atoms; maximal functions; spaces of homogeneous type; normal spaces of order alpha; space of Lipschitz functions

Citations:

Zbl 0257.46078; Zbl 0431.46018
PDF BibTeX XML Cite
\textit{R. A. Macias} and \textit{C. Segovia}, Adv. Math. 33, 271--309 (1979; Zbl 0431.46019)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

References:

[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)
[4] Coifman, R.R; Weiss, G, Analyse harmonique non-commutative sur certain espaces homogenes, () · 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 Hp spaces: the real method, Trans. amer. math. soc., 191, 75-81, (1974) · Zbl 0285.41006
[7] Fefferman, C; Stein, E.M, Hp spaces of several variables, Acta math., 129, 137-194, (1972)
[8] Latter, R.H, A characterization of Hp(rn) in terms of atoms, Studia math., 62, 92-101, (1978)
[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
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.