Compactness of commutators and maximal commutators of multilinear singular integral operators with non-smooth kernels on Morrey space

Abstract

In this paper, the behavior for commutators and maximal commutators of a class of bilinear singular integral operators associated with non-smooth kernels on the products of Morrey space is studied. By some maximal operators and commutators, we proved that the commutators and maximal commutators of singular integral operators and ${\rm CMO}$ functions are bounded and compact.