On Multipliers of the Group Lp,w(g)-Algebras

Abstract

Let G be a locally compact abelian group (non-compact, non-discrete) with Haar measure and 1 ≤ p < ∞: The purpose of this paper is to study the space of multipliers on L<inf>p,w</inf> (G) and characterize it as the algebra of all multipliers of the closely related Banach algebra of tempered elements in L<inf>p,w</inf> (G).