Weighted Orlicz Algebras on Hypergroups

Oztop S., Tabatabaie S. M.

FILOMAT, vol.34, no.9, pp.2991-3002, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 9
  • Publication Date: 2020
  • Doi Number: 10.2298/fil2009991o
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.2991-3002
  • Keywords: locally compact hypergroup, weight function, Banach algebra, Orlicz space, COMPACT MULTIPLIERS, SPACES
  • Istanbul University Affiliated: Yes

Abstract

Let K be a hypergroup, w be a weight function and let (Phi, Psi) be a complementary pair of Young functions. We consider the weighted Orlicz space L-omega(Phi) (K) and investigate some of its algebraic properties under convolution. We also study the existence of an approximate identity for the Banach algebra L-omega(Phi) (K). Further, we describe the maximal ideal space of the convolution algebra L-omega(Phi) (K) for a commutative hypergroup K.