Weighted Lorentz-Karamata spaces and their compact Embeddings
International Journal of Mathematical Analysis, vol.9, no.57-58, pp.2857-2869, 2015 (Scopus)
- Publication Type: Article / Article
- Volume: 9 Issue: 57-58
- Publication Date: 2015
- Doi Number: 10.12988/ijma.2015.512295
- Journal Name: International Journal of Mathematical Analysis
- Journal Indexes: Scopus
- Page Numbers: pp.2857-2869
- Keywords: Compact embedding, Slowly varying function, Weighted lorentz-karamata space
- Ondokuz Mayıs University Affiliated: Yes
Abstract
Let G be a locally σ-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