Some aspects of Lorentz-Karamata spaces

Eryılmaz İ.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, vol.14, no.7, pp.1332-1338, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 7
  • Publication Date: 2012
  • Journal Name: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1332-1338
  • Keywords: Slowly varying functions, Lorentz-Karamata spaces, Multipliers, CONVOLUTION OPERATORS, EMBEDDINGS
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

Let G be a locally sigma-compact abelian group with Haar measure mu. In this small note, we introduce some simple properties of Lorentz-Karamata spaces L-p,L-q;b (G) and also characterize the space of multipliers from L-1 (G) to Lorentz-Karamata spaces.