TWO NEW CLASSES OF SUBALGEBRAS OF L-1 (G)


Eryılmaz İ.

BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol.9, no.1, pp.127-136, 2015 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 9 Issue: 1
  • Publication Date: 2015
  • Journal Name: BANACH JOURNAL OF MATHEMATICAL ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.127-136
  • Keywords: Slowly varying function, Lorentz-Karamata space, multiplier, LORENTZ-KARAMATA SPACES, CONVOLUTION OPERATORS, L(P,Q) SPACES, AP(G)-ALGEBRAS, EMBEDDINGS, ALGEBRA, L1(G)
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, two new classes of subalgebras of L-1 (G) generated by Lorentz-Karamata spaces are investigated and some fundamental properties of these spaces are examined. Also, the multipliers space (homomorphisms space) on L-1 (G) boolean AND L(p, q; b) (G) spaces are characterized.