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- Title
Atomic decomposition characterizations of weighted multiparameter Hardy spaces.
- Authors
Wu, Xinfeng
- Abstract
Let w ∈ A. In this paper, we introduce weighted-( p, q) atomic Hardy spaces H(ℤ ×ℤ) for 0 < p ⩽ 1, q > q and show that the weighted Hardy space H (ℤ × ℤ) defined via Littlewood-Paley square functions coincides with H (ℤ × ℤ) for 0 < p ⩽ 1, q > q. As applications, we get a general principle on the H (ℤ × ℤ) to L(ℤ ×ℤ) boundedness and a boundedness criterion for two parameter singular integrals on the weighted Hardy spaces.
- Subjects
MATHEMATICAL decomposition; PARAMETERS (Statistics); HARDY spaces; LITTLEWOOD-Paley theory; MATHEMATICAL bounds; SINGULAR integrals; MATHEMATICAL analysis
- Publication
Frontiers of Mathematics in China, 2012, Vol 7, Issue 6, p1195
- ISSN
1673-3452
- Publication type
Article
- DOI
10.1007/s11464-012-0213-6