On certain porous sets in the Orlicz space of a locally compact group

Abstract

Let $G$ be a locally compact group with a fixed left Haar measure. Given Young functions $\varphi $ and $\psi $, we consider the Orlicz spaces $L^\varphi (G)$ and $L^\psi (G)$ on a non-unimodular group $G$, and, among other things, we prove that under mil