Marcinkiewicz积分交换子在加权Herz-Morrey空间上的有界性

摘要

设μmΩ,b是由Marcinkiewicz积分μΩ和BMO函数b(x)生成的高阶交换子.本文介绍了加权Herz-Morrey空间,并对这类空间上的Marcinkiewicz积分高阶交换子进行了研究和估计.%Let μmΩ,b be the higher order commutator generated by Marcinkiewicz integral μΩ and a BMO (Rn) function b(x). In this paper, the weighted Herz-Morrey spaces are introduced and the estimates for Marcinkiewicz integral commutators on the weighted Herz-Morrey spaces are studied.