Atomic Decomposition for Mixed Morrey Spaces

被引：0
|
作者：
Toru Nogayama
Takahiro Ono
Daniel Salim
Yoshihiro Sawano
机构：
[1] Tokyo Metropolitan University,Department of Mathematics and Information Sciences
[2] Chuo University,Department of Mathematics
[3] Bandung Institute of Technology,Analysis and Geometry Group
来源：
The Journal of Geometric Analysis | 2021年 / 31卷
关键词：
Mixed Morrey spaces; Fractional integral operators; Atoms; 41A17; 42B35;
D O I：
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学科分类号：
摘要：
In this paper, we consider some norm estimates for mixed Morrey spaces considered by the first author. Mixed Lebesgue spaces are realized as a special case of mixed Morrey spaces. What is new in this paper is a new norm estimate for mixed Morrey spaces that is applicable to mixed Lebesgue spaces as well. An example shows that the condition on parameters is optimal. As an application, the Olsen inequality adapted to mixed Morrey spaces can be obtained.
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页码：9338 / 9365
页数：27
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