Weighted Lorentz-Karamata spaces and their compact Embeddings

Abstract

Let G be a locally ?-compact abelian group with Haar measure. In this paper, firstly, weighted Lorentz-Karamata Lw p;q;b (G) spaces will be defined and examined with some fundamental properties. Next, we will establish some criteria for noncompactness of embedding theorems for weighted Lorentz-Karamata (WLK) spaces © 2015 Ilker Eryilmaz.