分数次极大算子及交换子在Morrey空间上的加权估计

Weighted estimates of fractional maximal operator and its commutator on Morrey spaces

利用权不等式以及调和分析的实变方法,证明粗糙核分数次极大算子在加权Morrey空间上的有界性,并且得到粗糙核分数次极大算子与BMO函数生成的交换子的加权有界性。

By applying the weighted inequality and the real variable methods of harmonic analysis,the boundedness of the fractional maximal operator with rough kernel is proved on the weighted Morrey space.Meanwhile,the weighted boundedness of its commutator generated by BMO function is also obtained.