Wiener amalgam spaces with respect to orlicz spaces on the affine group

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ARIS B., ÖZTOP KAPTANOĞLU S.

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, cilt.14, sa.2, 2023 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 14 Sayı: 2
• Basım Tarihi: 2023
• Doi Numarası: 10.1007/s11868-023-00516-8
• Dergi Adı: JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
• İstanbul Üniversitesi Adresli: Evet

Özet

Let A be the affine group, phi be a Young function and L-phi)(A) be the correspond-ing Orlicz space. We study the Orlicz amalgam spaces W(L-phi)(A), L-1(A)) and W(L-infinity(A), L-phi)(A)), where the local components are L-phi)(A), L-infinity(A) and the global components are L-1(A), L-phi)(A), respectively. We obtain an equivalent discrete-type norm on the spaces W (L-phi)(A), L-1(A)) and W(L-infinity(A), L-phi)(A)). This allows us to prove new convolution relations.