Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces

DOI10.1007/S11766-008-1992-0zbMath1199.42063OpenAlexW1981428817MaRDI QIDQ1032806

Xiao Yu, Hui Wang, Yandan Zhang, Jiecheng Chen

Publication date: 11 November 2009

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

Full work available at URL: https://doi.org/10.1007/s11766-008-1992-0

zbMATH Keywords

Hardy-Sobolev spacevariable kernel\(L^{1,\alpha}\)-Dini conditionparameterized Marcinkiewicz integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30)

Related Items (2)

Atomic decompositions of Triebel-Lizorkin spaces with local weights and applications ⋮ A note on parameterized Marcinkiewicz integrals with variable kernels

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