分数次极大函数交换子在变指标Morrey空间上的有界性

Boundedness of Commutators of the Fractional Maximal Functions on Variable Exponent Morrey Spaces

对于一类变指标Morrey空间,讨论了分数次极大函数交换子在该空间上的有界性。利用分数次极大函数和BMO函数生成的交换子在变指标Lebesgue空间上的有界性,给出了该交换子在变指标Morrey空间上有界的等价条件。

Using the bounded results for commutators generated by fractional maximal function and BMO function on variable exponent Lebesgue spaces,the boundedness of the commutators is discussed on some variable exponent Morrey spaces,and the equivalent conditions about the boundedness of the commutators are obtained.