Norm Inequalities for Fractional Integral Operators on Generalized Weighted Morrey Spaces

被引：0
|
作者：
Yueshan Wang [1 ]
机构：
[1] Department of Mathematics, Jiaozuo University
来源：
Analysis in Theory and Applications | 2017年 / 33卷 / 02期
关键词：
Fractional integral; rough kernel; Gaussian kernel bound; commutator; generalized weighted Morrey space;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
Considering a class of operators which include fractional integrals related to operators with Gaussian kernel bounds, the fractional integral operators with rough kernels and fractional maximal operators with rough kernels as special cases, we prove that if these operators are bounded on weighted Lebesgue spaces and satisfy some local pointwise control, then these operators and the commutators of these operators with a BMO functions are also bounded on generalized weighted Morrey spaces.
引用
收藏
页码：93 / 109
页数：17
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