Orlicz spaces with s-norms that are abstract M-spaces

Uysal B. H., Öztop S.

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, cilt.44, sa.1-2, ss.219-233, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 1-2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.4171/zaa/1764
  • Dergi Adı: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.219-233
  • İstanbul Üniversitesi Adresli: Evet

Özet

Let D be an Orlicz function and L(X, E, mu) the corresponding Orlicz space on a non- atomic, 6-finite, complete measure space (X, E, mu). We describe those Orlicz spaces equipped with s-norms that are abstract M-spaces. Our study generalizes and unifies the results that have been obtained for the Orlicz norm, the Luxemburg norm, and the p-Amemiya norms separately.