Definability of singular integral operators on Morrey-Banach spaces

被引：26

作者：

Ho, Kwok-Pun ^{[1
]}

机构：

[1] Educ Univ Hong Kong, Dept Math & Informat Technol, 10 Ping Rd, Hong Kong, Peoples R China

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2020年 / 72卷 / 01期

关键词：

singular integral operator; Morrey space; Banach function space; variable exponent analysis; RIESZ-POTENTIALS; SOBOLEV EMBEDDINGS; VARIABLE EXPONENT; MAXIMAL OPERATOR; HARDY-SPACES; BOUNDEDNESS; COMMUTATORS; KERNELS;

D O I：

10.2969/jmsj/81208120

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a definition of singular integral operators on Morrey- Banach spaces which include Orlicz-Morrey spaces and Morrey spaces with variable exponents. The main result of this paper ensures that the singular integral operator is well-defined on the Morrey-Banach spaces. Therefore, it provides a solid foundation for the study of singular integral operators on Morrey type spaces. As an application of our main result, we study commutators of singular integral operators on Morrey-Banach spaces.

引用

页码：155 / 170

页数：16

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