Boundedness of linear operators via atoms on Hardy spaces with non-doubling measures

DOI10.1515/gmj.2011.0018zbMath1222.42023arXiv0906.1316OpenAlexW2978943738MaRDI QIDQ3015222

Da Chun Yang, Dong Yong Yang

Publication date: 11 July 2011

Published in: gmj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1316

zbMATH Keywords

blocklinear operatorcommutatorfractional integral operatorCalderón-Zygmund operatornon-doubling measureatomic block\(H^1(\mu)\)\(h^1(\mu)\)

Mathematics Subject Classification ID

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

Related Items (4)

Boundedness of Marcinkiewicz integrals on Hardy spaces H^p over non-homogeneous metric measure spaces ⋮ Boundedness of Calderón-Zygmund operators with finite non-doubling measures ⋮ Hardy spaces \(H^p_L (\mathbb R^{n })\) associated with operators satisfying \(k\)-Davies-Gaffney estimates ⋮ Equivalent boundedness of Marcinkiewicz integrals on non-homogeneous metric measure spaces

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