Bilinear multipliers on Orlicz spaces on locally compact groups

Osançlıol A., Öztop S.

Journal of Pseudo-Differential Operators and Applications, cilt.14, sa.4, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s11868-023-00551-5
  • Dergi Adı: Journal of Pseudo-Differential Operators and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Bilinear multipliers, Boyd indices, Feicthinger algebra, Locally compact abelian groups, Orlicz spaces, p-Convex, q-Concave
  • İstanbul Üniversitesi Adresli: Evet

Özet

We generalize the theory of bilinear multipliers acting on Orlicz spaces from Rn to locally compact abelian groups. We focus on describing these bilinear multipliers from the point of view of abstract harmonic analysis. We obtain separate necessary and sufficient conditions for the existence and boundedness of such bilinear multipliers.