带变量核的分数次极大算子在加权L^p空间上的有界性

Boundedness of Fractional Maximal Operators with Variable Kernels on Weighted Morrey Spaces

利用核函数Ω的性质,证明了带变量核的分数次极大MΩ,α是加权Lp空间上的有界算子,从而推广了以往非变量核的结果.

By using the properties of the function Ω,the boundedness results on the weighted Lpspaces are established for the fractional maximal operators MΩ,αwith variable kernels,which extends no-variable kernel results that have been achieved in previous research.