Inclusion properties of the generalized homogeneous Herz-Morrey spaces

Authors

  • Ali Jasser Tishreen University
  • Mohammad Ali Tishreen University
  • Hassan Baddour Tishreen University

Abstract

In this paper, we study a problem at functional analysis, it is the inclusion of functional spaces, in the beginning we defined the generalized homogeneous Herz - Morrey space , which is a generalization of the homogeneous Herz- Morrey space, then we studied some of its basic properties, where we proved that it is linear, normed and complete space, then we studied its inclusion properties for different cases of the parameters  , then we studied the inclusion between the generalized homogeneous Herz- Morrey space and the weak generalized homogeneous Herz – Morrey space, finally we studied the inclusion between the weak generalized homogeneous Herz – Morrey space.

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Published

2024-04-23

How to Cite

1.
جاسر ع, محمد علي, حسن بدور. Inclusion properties of the generalized homogeneous Herz-Morrey spaces. TUJ-BA [Internet]. 2024Apr.23 [cited 2024May6];46(1):115-28. Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/16822

Issue

Vol. 46 No. 1 (2024): Tishreen University Journal of Research and Scientific Studies - Basic Sciences Series

Section

Master student researches

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