Boundedness of Calderón-Zygmund operators with finite non-doubling measures

DOI10.1007/s11464-013-0210-4zbMath1290.42042OpenAlexW2091671821MaRDI QIDQ382161

Da Chun Yang, Dong Yong Yang

Publication date: 18 November 2013

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-013-0210-4

zbMATH Keywords

Calderón-Zygmund operatornon-doubling measurelocalized atomic Hardy space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Cites Work

• Unnamed Item
• Boundedness of Calderón-Zygmund operators on non-homogeneous metric measure spaces: equivalent characterizations
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• A remark on the boundedness of Calderón-Zygmund operators in non-homogeneous spaces
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• The \(Tb\)-theorem on non-homogeneous spaces.
• The Hardy space \(H^1\) with non-doubling measures and their applications
• Weighted estimates for commutators of singular integral operators with non-doubling measures
• Boundedness of linear operators via atoms on Hardy spaces with non-doubling measures
• The space $H^1$ for nondoubling measures in terms of a grand maximal operator
• Calderón-Zygmund operators on Hardy spaces without the doubling condition
• The semiadditivity of continuous analytic capacity and the inner boundary conjecture
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
• Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures

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