A criterion for nonzero multiplier for Orlicz spaces of an affine group R₊ x R

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ÜSTER GÜNDÜZ R.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.52, sa.5, ss.1198-1205, 2023 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 52 Sayı: 5
• Basım Tarihi: 2023
• Doi Numarası: 10.15672/hujms.1175682
• Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
• Sayfa Sayıları: ss.1198-1205
• İstanbul Üniversitesi Adresli: Evet

Özet

Let A = R+ x R be an affine group with right Haar measure d mu and Phi(i), i = 1, 2, be Young functions. We show that there exists an isometric isomorphism between the multiplier of the pair (L-Phi 1(A), L-Phi 2(A)) and (L-Psi 2(A), L-Psi 1(A)) where Psi(i) are complementary pairs of Phi(i), i = 1, 2, respectively. Moreover we show that under some conditions there is no nonzero multiplier for the pair (L-Phi 1(A), L-Phi 2(A)), i.e., for an affine group A only the spaces M( L-Phi 1(A), L-Phi 2(A)), with a concrete condition, are of any interest.