STRUCTURE SPACE OF GENERALIZED BEURLING ALGEBRAS

In this study, we first consider some natural properties of the weighted spaces Lp !(G) on a locally compact group G in terms of universal properties. We consider weights as ! such that these weighted spaces are algebras with respect to usual convolution. Also, it is shown that under some additional conditions its structure space ¢(Lp !(G)) coincides with those !- bounded generalized characters that defines continuous linear functionals