MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
A NEW TYPE OF WEIGHTED ORLICZ SPACES
A.R. Bagheri Salec, S.M. Tabatabaie

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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Keywords: Locally compact group; weighted Orlicz algebra; Young function; convolution; spaceablity; inclusion.

MSC: 46E30, 47B37, 43A15

DOI: 10.57016/MV-mp9po679

Pages:  1$-$9