Generalized weighted Morrey spaces and classical operators

被引：44
|
作者：
Nakamura, Shohei [1 ]
机构：
[1] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo 1920397, Japan
来源：
MATHEMATISCHE NACHRICHTEN | 2016年 / 289卷 / 17-18期
关键词：
Generalized weighted Morrey space; Hardy-Littlewood maximal operator; generalized fractional maximal operator; generalized fractional integral operator; singular integral operator; NORM INEQUALITIES; INTEGRAL-OPERATORS; MAXIMAL FUNCTIONS; HARDY;
D O I：
10.1002/mana.201500260
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notion of generalized weighted Morrey spaces and investigate the boundedness of some operators in these spaces, such as the Hardy-Littlewood maximal operator, generalized fractional maximal operators, generalized fractional integral operators, and singular integral operators. We also study their boundedness in the vector-valued setting. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：2235 / 2262
页数：28
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