Vector-valued maximal multilinear Calderon-Zygmund operator with nonsmooth kernel on weighted Morrey space

摘要

In this paper, vector-valued Maximal multilinear Calderon-Zygmund operator with nonsmooth kernel and its commutators generated by BMO function are studied. The purpose of this paper is to establish that these operators are bounded on certain multiple weighted Morrey space. Moreover, we also get the multiple weighed Morrey estimate for the vector-valued Caldeorn-Zygmund operator and its commutator generated by BMO function.