$L^2$ boundedness for commutator of rough singular integral with variable kernel

Yanping Chen; Yong Ding

doi:10.4171/rmi/545

JournalsrmiVol. 24, No. 2pp. 531–547

$L^{2}$ boundedness for commutator of rough singular integral with variable kernel

Yanping Chen
University of Sciences and Technology, Beijing, China
Yong Ding
Beijing Normal University, China

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Abstract

n this paper the authors prove the $L^{2} (R^{n})$ boundedness of the commutator of the singular integral operator with rough variable kernels, which is a substantial improvement and extension of some known results.

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Yanping Chen, Yong Ding, $L^{2}$ boundedness for commutator of rough singular integral with variable kernel. Rev. Mat. Iberoam. 24 (2008), no. 2, pp. 531–547

DOI 10.4171/RMI/545