Two operators related to Marcinkiewicz integrals

DOI10.1007/s10114-009-8038-2zbMath1177.42014OpenAlexW1532953111MaRDI QIDQ1044336

Hui Xia Mo, Lu, Shanzhen

Publication date: 11 December 2009

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

Full work available at URL: https://doi.org/10.1007/s10114-009-8038-2

zbMATH Keywords

Lipschitz spaceHerz-type Hardy spacegeneralized higher commutator of Marcinkiewicz integralmultilinear Marcinkiewicz integral

Mathematics Subject Classification ID

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

Cites Work

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• Boundedness of higher-order Marcinkiewicz-type integrals
• Boundedness of generalized higher commutators of Marcinkiewicz integrals
• On Marcinkiewicz integral with homogeneous kernels
• The weighted Herz-type Hardy space and its applications
• Multilinear singular and fractional integrals
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A note on the Marcinkiewicz integral
• Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss
• Oscillatory Singular Integrals on Hardy Spaces Associated with Herz Spaces
• The local versions of $H^p(ℝ^n)$ spaces at the origin
• \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels

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