Multipliers for the Weighted Orlicz Spaces of a Locally Compact Abelian Group

Let G be a locally compact abelian group with Haar measure, $$\Phi $$ be a Young function and $$\omega $$ be a weight. We investigate the closed convex left invariant subsets of $$L^{\Phi }(G,\omega )$$ and apply the results to the study of the multipliers for $$L^{\Phi }(G,\omega )$$ .