局部和全局dunkl - morrey型空间

IF 1 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2025-04-08 DOI:10.1007/s43034-025-00425-5

M. Shi, N. Zhao, Y. Liu

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引用次数: 0

摘要

本文介绍了（弱）局部和全局 Dunkl-Morrey 型空间，并研究了这些空间的一些性质，如嵌入定理、前二元空间以及与赫兹型空间的规范等价关系。得到了这些空间上 Dunkl 分数型最大算子有界的必要条件和充分条件。此外，还建立了哈代局部邓克尔-莫雷型空间的特征和局部邓克尔-莫雷型空间的块分解。

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Local and global Dunkl–Morrey-type spaces

In this paper, we introduce (weak) local and global Dunkl–Morrey-type spaces and investigate some properties of these spaces, such as embedding theorem, pre-dual spaces and norm-equivalence relationships with Herz-type spaces. The necessary and sufficient conditions for the boundedness of Dunkl-fractional-type maximal operators on these spaces are obtained. Moreover, a characterization of the Hardy local Dunkl–Morrey-type space and a block decomposition of local Dunkl–Morrey type spaces are established.

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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.