中文摘要：

该文给出定义在R^n上的一类广义加权极大Morrey空间.证明一类次线性算子,包括分数次积分算子,在该类空间中的有界性质.同时还研究该类次线性算子的交换子在广义加权极大Morrey空间中的有界性质.

英文摘要：

A version of generalized weighted grand Morrey spaces defined on R^n is adopted. Some results for the boundedness of some sublinear operators, including fractional integral operators, on certain spaces are given. Moreover, the corresponding results of the commutators are discussed.