Boundedness of generalized Marcinkiewicz integral on the \(H^p\)-Sobolev spaces

DOI10.1007/s11766-004-0006-0zbMath1071.42010OpenAlexW1969340207MaRDI QIDQ1769565

Houyu Jia, Liya Jiang, Han Xu

Publication date: 4 April 2005

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-004-0006-0

zbMATH Keywords

boundednessatomic decompositionTriebel-Lizorkin spaceMarcinkiewicz\ integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Cites Work

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• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A note on the Marcinkiewicz integral
• Certain Operators with Rough Singular Kernels
• \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels

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