Characterization of the uniform convexity of the Besicovitch-Musielak-Orlicz spaces of almost periodic functions

• Autorzy: Morsli M. , Smaali M.
• Języki publikacji: EN

Abstrakty

EN

We introduce the new class of Besicovitch-Musielak-Orlicz spaces of almost periodic functions B'a.p..The uniform convexity of this space is characterized in terms of it’s generating functional [fi]

Słowa kluczowe

EN

Besicovitch-Orlicz space; Musielak-Orlicz space; almost periodic functions; uniform convexity

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2006
• Tom: Vol. 46, [Z] 2
• Strony: 215--231
• Opis fizyczny: bibliogr. 10 poz.

Twórcy

autor

Morsli M.

autor

Smaali M.

• Department of Mathematics, Faculty of Sciences, University of Tizi-Ouzou Oued-Aissi, Algeria,

Bibliografia

• [1] A. S. Besicovitch, Almost periodic functions, Dover Publ. Inc. , New York 1954.
• [2] S. Chen, Geometry of Orlicz spaces, Dissertationes Math. 356, 1996.
• [3] C. Corduneanu, N. Gheorghiu and V. Barbu, Almost periodic function, Chelsea Publishing Company 1989.
• [4] T. R. Hillmann, Besicovitch-Orlicz spaces of almost periodic functions, Real and Stochastic Analysis. 164, Wiley Ser. in probability and Math. Stat., Wiley., New York 1986.
• [5] H. Hudzik, Convexity in Musielak- Orlicz spaces, Hokkaido Mathematical Journal, 14 (1985), 85-96.
• [6] H. Hudzik, Strict convexity of Musielak- Orlicz spaces with Luxemburg's Norm, Bull. Acad. Polon. Sci. Math. 39(5-6) (1981), 235-247.
• [7] M. Morsli and F. Bedouhene, On the uniform convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm, Colloquium Mathematicum 102(1) (2005), 97-111.
• [8] M. Morsli, On some convexity properties of the Besicovitch-Orlicz spaces of almost periodic functions, Comment. Math. 34 (1994), 137-152.
• [9] M. Morsli and F. Bedouhene, On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions, Revista Matematica Complutense 16(2) (2003), 399-415.
• [10] J. Musielak, Orlicz spaces and modular spaces, Lecture notes in Math., Springer-Verlag 1034, 1983.