Commutators of Marcinkiewicz integral with rough kernels on Sobolev spaces

DOI10.1007/S10114-011-8544-XzbMath1311.42032OpenAlexW2162624773MaRDI QIDQ475745

Yan-ping Chen, Xin Xia Wang, Ding, Yong

Publication date: 27 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10114-011-8544-x

zbMATH Keywords

Sobolev spacerough kernelMarcinkiewicz integralcommutatorbony paraproduct

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis in several variables (42B99)

Related Items (1)

Parameter Marcinkiewicz integral and its commutator on generalized Orlicz-Morrey spaces

Cites Work

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• Boundedness of commutators of Marcinkiewicz integral with rough variable kernel
• Maximal operators associated with commutators of spherical means
• \(L^2\)-boundedness of a singular integral operator
• On the commutator of the Marcinkiewicz integral.
• \(L^p\) bounds for the function of Marcinkiewicz.
• On commutators of Marcinkiewicz integrals with rough kernel
• Operators with rough singular kernels
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A note on the Marcinkiewicz integral
• Certain Operators with Rough Singular Kernels
• L^p(Rⁿ) boundedness for the commutator of a homogeneous singular integral operator
• \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels

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