Multipliers on Some Lorentz Spaces

Abstract

This paper is concerned with the characterization of the spaces of bounded linear operators commuting with translation operators on some Lorentz spaces which are defined on a locally compact abelian group with Haar measure. These characterizations are motivated by those of Figà-Talamanca [8, 9], Avci{dotless} and Gürkanli{dotless} [1] wherein the concept of tensor product is used as a basic tool for obtaining them.