Multipliers and relative completion in weighted Lorentz spaces

Abstract

Let G be a locally compact Abelian group with Haar measure mu. In the present paper, first the authors discussed some properties of weighted Lorentz space. Then they defined the relative completion (A) over tilde of a subspace A of the weighted Lorentz space, and showed that the space of the multipliers from L-W(1)(G) to A is algebrically isomorphic and homeomorphic to (A) over tilde.