Weighted Orlicz Algebras on Hypergroups

Abstract

Let $K$ be a locally compact hypergroup, $w$ be a weight function and let $(\Phi, \Psi)$ be a
 complementary pair of Young functions. We consider the weighted Orlicz space $L_{\omega}^{\Phi}(K)$ and
 investigate some of its algebraic properties under convolution. We also study the existence of an approximate identity
 for the Banach algebra $L_{w}^{\Phi}(K)$. Further, we describe the maximal ideal space of the convolution
 algebra $L_{w}^{\Phi}(K)$ for a commutative hypergroup $K$.