Weighted Orlicz Algebras on Hypergroups

Oztop S., Tabatabaie S. M.

FILOMAT, cilt.34, sa.9, ss.2991-3002, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 9
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2298/fil2009991o
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.2991-3002
  • Anahtar Kelimeler: locally compact hypergroup, weight function, Banach algebra, Orlicz space, COMPACT MULTIPLIERS, SPACES
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.