Generalized weighted Morrey spaces and classical operators

被引：46

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

页码：2235 / 2262

页数：28

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