Atomic Decomposition for Mixed Morrey Spaces
Atomic Decomposition for Mixed Morrey Spaces
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DOI：
10.1007/s12220-020-00513-z
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发表时间：
2020-09
期刊：
影响因子：
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通讯作者：
T. Nogayama;Takahiro Ono;Daniel Salim;Y. Sawano
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文献类型：
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作者：
T. Nogayama;Takahiro Ono;Daniel Salim;Y. Sawano
本文考虑了第一作者所考虑的混合Morrey空间的一些范数估计。混合Lebesgue空间是混合Morrey空间的一个特例。本文的创新之处在于对混合Morrey空间给出了一个新的范数估计，它同样适用于混合Lebesgue空间。算例表明，参数条件是最优的.作为应用，得到了适用于混合Morrey空间的Olsen不等式.
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.