Commutator of hypersingular integral with rough kernels on Sobolev spaces

DOI10.1007/S10114-013-2127-YzbMath1269.42009OpenAlexW2149771472MaRDI QIDQ2376641

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

Publication date: 24 June 2013

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

Full work available at URL: https://doi.org/10.1007/s10114-013-2127-y

zbMATH Keywords

Sobolev spaceparaproducthypersingular integralcommutator

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• The boundedness for commutators of a class of maximal hypersingular integrals with variable kernels
• A discrete transform and decompositions of distribution spaces
• Factorization theorems for Hardy spaces in several variables
• Maximal operators associated with commutators of spherical means
• \(L^2\)-boundedness of a singular integral operator
• On Singular Integrals
• Weighted Norm Inequalities for Homogeneous Singular Integrals
• Weighted estimates for commutators of linear operators
• Certain Operators with Rough Singular Kernels
• L^p(Rⁿ) boundedness for the commutator of a homogeneous singular integral operator
• On Hypersingular Integrals and Lebesgue Spaces of Differentiable Functions

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