CONVOLUTION WEIGHTED ORLICZ ALGEBRAS IN CONTEXT OF σ-COMPACT GROUPS

Document Type : Original Article

Author
Alireza Bagheri Salec
Department of Mathematics, University of Qom, Qom, Iran.
10.22034/maco.3.1.10
Abstract
In this paper, some sufficient condition for a weighted Orlicz space, L_w^Φ(G), to be a Banach algebra with convolution as multiplication in context of a σ-compact groups. We also for a class of Orlicz spaces, obtain an equivalent condition, such that a weighted Orlicz space to be a convolution Banach algebra. This resultes generalized some known results in Lebesgue spaces.

Keywords

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Mathematical Analysis and Convex Optimization
Volume 3, Issue 1
June 2022
Pages 97-103