Weighted Lorentz-Karamata Spaces and Their Compact Embeddings

Abstract

Let G be a locally σ-compact abelian group with Haar measure. In this paper, firstly, weighted Lorentz-Karamata Lw <inf>p;q;b</inf> (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.