引进一类含参数加权极大Lebesgue空间并得到满足一定尺寸条件的次线性算子在该类空间中的有界性质.特别地,还考虑了该类空间上次线性算子与BMO函数生成交换子的相应有界性质.
A version of weighted grand Lebesgue space with parameter is introduced.The boundedness of sublinear operators under certain size conditions on these spaces are discussed. Particularly, the corresponding results for the commutators formed by certain sublinear operators and BMO functions are also considered.