MULTIPLIERS ON SOME LORENTZ SPACES

Eryılmaz İ., Duyar C.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, vol.19, no.1, pp.93-107, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 1
  • Publication Date: 2011
  • Journal Name: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.93-107
  • Keywords: Fourier Algebra, Multiplier, Lorentz spaces, INTERSECTIONS, OPERATORS, SUMS
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

This paper is concerned with the characterization of the spaces of bounded linear operators commuting with translation operators on some Lorentz spaces which are defined on a locally compact abelian group with Haar measure. These characterizations are motivated by those of Figa-Talamanca [8, 9], Avci and Gurkanli [1] wherein the concept of tensor product is used as a basic tool for obtaining them.