齐次Morrey-Herz空间上分数次积分算子高阶交换子的有界性

摘要

Some boundedness results are established in the setting of homogeneous Morrey-Herz spaces for a class of higher order commutators Tmb,l and Mmb,l generated by fractional integral operators Tl and maximal fractional operators Ml with function b(x) in BMO(Rn),respectively.%在齐次Morrey-Herz空间上建立了高阶交换子Tmb,l和Mmb,l的有界性,其中Tmb,l和Mmb,l是由分数次积分算子和分数次极大算子分别与BMO(Rn)函数生成的高阶交换子.