English

Compactness of commutators of multilinear singular integral operators with non-smooth kernels

Classical Analysis and ODEs 2014-11-10 v1

Abstract

In this paper, the behavior for commutators of a class of bilinear singular integral operator associated with non-smooth kernels on the products of weighted Lebesgue spaces is considered. By some new maximal functions to control the commutators of bilinear singular integral operators and CMO functions, compactness of the commutators is proved.

Keywords

Cite

@article{arxiv.1411.1905,
  title  = {Compactness of commutators of multilinear singular integral operators with non-smooth kernels},
  author = {Rui Bu and Jiecheng Chen},
  journal= {arXiv preprint arXiv:1411.1905},
  year   = {2014}
}