The Calderón-Zygmund decomposition and interpolation on weighted Hardy spaces

DOI10.1007/s10114-011-9338-xzbMath1270.42024OpenAlexW2161295375MaRDI QIDQ353548

Zhuo Ping Ruan

Publication date: 16 July 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9338-x

zbMATH Keywords

interpolationCalderón-Zygmund decompositionweighted Hardy spacediscrete Littlewood-Paley analysis

Mathematics Subject Classification ID

(H^p)-spaces (42B30)

Related Items (5)

The boundedness of composition operators on Triebel-Lizorkin and Besov spaces with different homogeneities ⋮ Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators ⋮ Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces ⋮ Weighted Littlewood–Paley inequality for arbitrary rectangles in ℝ² ⋮ Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals

Cites Work

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• Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\)
• Singular integrals on product spaces
• The molecular characterization of weighted Hardy spaces
• Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series
• The Calderon-Zygmund Decomposition on Product Domains

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