The Calderón-Zygmund decomposition and interpolation on weighted Hardy spaces

The Calderón-Zygmund decomposition and interpolation on weighted Hardy spaces

We apply discrete Littlewood-Paley-Stein theory, developed by Han and Lu, to establish Calderón-Zygmund decompositions and interpolation theorems on weighted Hardy spaces H w p for ω ∈ A ∞ in both the one-parameter and two-parameter cases.

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Veröffentlicht in:Acta mathematica Sinica. English series 2011-10, Vol.27 (10), p.1967-1978
1. Verfasser: Ruan, Zhuo Ping
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Decomposition
Interpolation
Mathematical analysis
Mathematical functions
Mathematics
Mathematics and Statistics
Studies
Theorems
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Beschreibung
Zusammenfassung:We apply discrete Littlewood-Paley-Stein theory, developed by Han and Lu, to establish Calderón-Zygmund decompositions and interpolation theorems on weighted Hardy spaces H w p for ω ∈ A ∞ in both the one-parameter and two-parameter cases.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-011-9338-x