Weighted Lorentz-Karamata spaces and their compact Embeddings

Eryılmaz İ.

International Journal of Mathematical Analysis, cilt.9, sa.57-58, ss.2857-2869, 2015 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 57-58
  • Basım Tarihi: 2015
  • Doi Numarası: 10.12988/ijma.2015.512295
  • Dergi Adı: International Journal of Mathematical Analysis
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.2857-2869
  • Anahtar Kelimeler: Compact embedding, Slowly varying function, Weighted lorentz-karamata space
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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