Bilinear multipliers on Orlicz spaces on locally compact groups

Osançlıol, Alen; Öztop, Serap

doi:10.1007/s11868-023-00551-5

Bilinear multipliers on Orlicz spaces on locally compact groups

Atıf İçin Kopyala

Osançlıol A., Öztop S.

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

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.