Two-Weight Criteria for the Multidimensional Hardy-Type Operator in p-Convex Banach Function Spaces and Some Applications

被引：0
作者：
R. A. Bandaliev
机构：
[1] Azerbaijan National Academy of Sciences,Institute of Mathematics and Mechanics
来源：
Ukrainian Mathematical Journal | 2015年 / 67卷
关键词：
Lebesgue Space; Orlicz Space; Hardy Inequality; Dual Operator; Banach Function Space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The main aim of the paper is to prove a two-weight criterion for the multidimensional Hardy-type operator from weighted Lebesgue spaces into p-convex weighted Banach function spaces. The problem for the dual operator is also considered. As an application, we prove a two-weight criterion of boundedness of the multidimensional geometric mean operator from weighted Lebesgue spaces into weighted Musielak–Orlicz spaces.
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页码：357 / 371
页数：14
相关论文
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