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<p>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.</p>

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Local and global Dunkl–Morrey-type spaces

  • 期刊论文

  • 发表日期：

    2025年4月8日

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  • M. Shi,
  • N. Zhao,
  • Y. Liu

摘要

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.