A NEW TYPE OF WEIGHTED ORLICZ SPACES

Authors

  • A.R. Bagheri Salec Department of Mathematics, University of Qom, Qom, Iran Author
  • S.M. Tabatabaie Department of Mathematics, University of Qom, Qom, Iran Author

DOI:

https://doi.org/10.57016/MV-mp9po679

Keywords:

Locally compact group, weighted Orlicz algebra, Young function, convolution, spaceablity, inclusion

Subjects:

46E30, 47B37, 43A15

Abstract

In this paper, by some group action, we introduce a new type of weighted Orlicz spaces $L^\Phi_{w,v}(\Omega)$, where $w$ and $v$ are weights on $\Omega$ and $\Phi$ is a Young function. We study conditions under which $L^\Phi_{w,v}(G)$ is a convolution Banach algebra, where $G$ is a locally compact group.

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Published

2023-04-15

Issue

Vol. 75 No. 2 (2023): Vol. 75, Issue 2

Section

Articles

License

Copyright (c) 2023 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.