CONVOLUTION WEIGHTED ORLICZ ALGEBRAS IN CONTEXT OF σ-COMPACT GROUPS

In this paper, some sufficient condition for a weighted Orlicz space, LФ w(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.