Boundedness of singular integrals of variable rough Calderón-Zygmund kernels along surfaces.

DOI10.1007/BF01212707zbMath1036.42011MaRDI QIDQ1865939

Lin Tang, Da Chun Yang

Publication date: 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

maximal operatorCalderón-Zygmund kernelCalderón-Zygmund singular integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators on function spaces (general) (47B38)

Related Items (3)

\(L^{2}\)-boundedness of Marcinkiewicz integrals along surfaces with variable kernels: another sufficient condition ⋮ Hypersingular Marcinkiewicz integrals along surface with variable kernels on Sobolev space and Hardy-Sobolev space ⋮ On the boundedness of singular integrals with variable kernels

Cites Work

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• Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations
• A weighted norm inequality for rough singular integrals
• Addenda to the Paper on a Problem of Mihlin
• Inequalities for Some Maximal Functions. I
• On the Maximal Riesz-Transforms Along Surfaces
• On singular integrals with variable kernels
• A singular integral operator with rough kernel
• Periodic Sigma Functions
• On a Problem of Mihlin
• On a singular integral

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