Investigation of the Functional Properties and Spaces of Multipliers for Group L(p, q)(G)-Algebras

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Eryılmaz İ., Duyar C.

UKRAINIAN MATHEMATICAL JOURNAL, vol.67, no.3, pp.390-407, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 67 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.1007/s11253-015-1088-y
  • Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.390-407
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

Let G be a locally compact Abelian group (noncompact and nondiscrete) with Haar measure. Suppose that 1 < p < a and 1 a parts per thousand currency sign q a parts per thousand currency sign a. The purpose of the paper is to define temperate Lorentz spaces and study the spaces of multipliers on Lorentz spaces and characterize them as the spaces of multipliers of certain Banach algebras.