Multipliers for the Weighted Orlicz Spaces of a Locally Compact Abelian Group

Uster R.

RESULTS IN MATHEMATICS, vol.76, no.4, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 76 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.1007/s00025-021-01493-4
  • Journal Name: RESULTS IN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Keywords: Locally compact abelian group, weighted Orlicz space, invariant set, convex set, Banach module, compact multiplier, ALGEBRAS
  • Istanbul University Affiliated: No

Abstract

Let G be a locally compact abelian group with Haar measure, Phi be a Young function and omega be a weight. We investigate the closed convex left invariant subsets of L-Phi(G, omega) and apply the results to the study of the multipliers for L-Phi(G, omega).