Study of inclusion problem in Morrey space

Authors

  • Manal Hussein
  • Mohammad Ali
  • Haydar Suliman

Abstract

In this research we study one of the functional analysis problems, it is inclusion of functional spaces. We study especially the inclusion of spaces  which branches from Morrey spaces .

First, we mentioned some of the results that have been reached in the field of inclusion of some of the famous functional spaces such as Holder, Lebesgue, Orlicz and Morrey spaces. We then defined  by introducing a new parameter  to define the Morrey space and then studied some of its properties. Moreover,  we presented the theorem that studies the inclusion between  and Morrey space in addition to the theorem that studies the inclusion between  and Lebesgue space.

Finally, we studied in three cases the inclusion of functional spaces ,and we found that the parameters  and  play the key role in the inclusion of these spaces.

 

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Published

2019-07-03

How to Cite

1.
Hussein M, Ali M, Suliman H. Study of inclusion problem in Morrey space. TUJ-BA [Internet]. 2019Jul.3 [cited 2024Dec.29];41(3). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/8826

Issue

Vol. 41 No. 3 (2019): العلوم الأساسية

Section

Articles

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