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Atomic Decomposition for Mixed Morrey Spaces
The Journal of Geometric Analysis ( IF 1.1 ) Pub Date : 2020-09-30 , DOI: 10.1007/s12220-020-00513-z
Toru Nogayama , Takahiro Ono , Daniel Salim , Yoshihiro Sawano

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.



中文翻译:

混合Morrey空间的原子分解

在本文中,我们考虑第一作者考虑的混合Morrey空间的一些范数估计。混合Lebesgue空间是混合Morrey空间的特例。本文的新内容是混合Morrey空间的新常模估计,该估计也适用于混合Lebesgue空间。一个例子表明参数的条件是最佳的。作为应用,可以获得适用于混合Morrey空间的Olsen不等式。

更新日期:2020-09-30
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