\(L^2\) boundedness for commutator of rough singular integral with variable kernel

DOI10.4171/RMI/545zbMath1165.42004OpenAlexW2079213736MaRDI QIDQ951987

Yan-ping Chen, Ding, Yong

Publication date: 5 November 2008

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1218475352

zbMATH Keywords

singular integralcommutatorvariable kernelbounded mean oscillationspherical harmonic function

Mathematics Subject Classification ID

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

Related Items

Weighted boundedness of multilinear Calderón commutators ⋮ \(L^2(\mathbb{R}^n)\) boundedness for Calderón commutator with rough variable kernel ⋮ Variational inequalities for hypersingular integrals with variable kernels ⋮ The boundedness for commutator of fractional integral operator with rough variable kernel ⋮ Transference on some non-convolution operators from Euclidean spaces to torus ⋮ Commutators of square functions related to fractional differentiation for second-order elliptic operators ⋮ Sharp bounds for the commutators with variable kernels of fractional differentiations and BMO Sobolev spaces ⋮ The boundedness for commutators of a class of maximal hypersingular integrals with variable kernels ⋮ Boundedness for commutator of rough hypersingular integrals with variable kernels ⋮ \(L^2\) boundedness for maximal commutators with rough variable kernels ⋮ Boundedness of the commutator of Marcinkiewicz integral with rough variable kernel ⋮ 𝐿^{𝑝} bounds for the commutators of singular integrals and maximal singular integrals with rough kernels ⋮ Compactness for the commutators of singular integral operators with rough variable kernels

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