Weighted Lp-spaces on locally compact groups

Abstract

Let G be a locally compact group, to be a weight function on G and 0 < p < 1. We investigate the space Lp (G, w)*Lp(G, w) as a subset of some special spaces such as Lp(G, w), L ∞(G, 1,/w̃) and C0(G, 1/w̃). As the main result we show that all of the mentioned inclusions are equivalent to the discreteness of G.