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.

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

MSC: 46E30, 47B37, 43A15

DOI: 10.57016/MV-mp9po679

Pages:  137--146     

Volume  75 ,  Issue  2 ,  2023