PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

On the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions equipped with the Orlicz norm

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We characterize the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions, when it is equipped with the Orlicz norm. It is shown that this property is equivalent to the strict convexity of the Musielak-Orlicz function generating the space.
Rocznik
Strony
101--111
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
  • Department of Mathematics, Faculty of Sciences University of Tizi-Ouzou, Algeria
autor
  • Department of Mathematics, Faculty of Sciences University of Tizi-Ouzou, Algeria
autor
  • Department of Mathematics, Faculty of Sciences University of Tizi-Ouzou, Algeria
Bibliografia
  • [1] A.S. Besicovitch, Almost periodic functions, Cambridge Univ.Press, 1932.
  • [2] S. Chen, Geometry of Orlicz spaces, Dissertationes Math. 356, 1996.
  • [3] C. Corduneanu, N. Gheorghiu and V. Barbu, Almost periodic function, Publishing company, Chelsea, 1989.
  • [4] A. Daoui, M. Morsli, M. Smaali, Duality properties and Riesz representation theorem in Besicovitch-Musielak-Orlicz space of almost periodic functions. Comment. Math. Univ. Carolin. 53,2 (2012), 237-251.
  • [5] T.R. Hillmann, Besicovitch-Orlicz spaces of almost periodic functions, Real and Stochastic Analysis, Wiley, 1986.
  • [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] Z.Jimin, S.Lihuan and C.Yun’an The HR-point of the Musielak-Orlicz Function space equipped with Orlicz norm. Thai Journal of Mathematics 4,1 (2006), 209-222.
  • [8] M. Morsli, On some convexity properties of the Besicovitch-Orliz space of almost periodic functions. Comment. Math. 34 (1994),137-152.
  • [9] M. Morsli, F. Bedouhene, On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm. Rev. Mat. comp. 16,2 (2003), 399-415.
  • [10] M.Morsli,F. Bedouhene, On the uniform convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm, Colloquium Mat. 102,1 (2005), 97-111.
  • [11] M. Morsli, M. Smaali, Characterization of the uniform convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions. Commentationes Mathematicae, Prace matematyczne, XLVI (2) (2006) 215-231.
  • [12] M. Morsli, M. Smaali, Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions . Comment. Math. Univ. Carolin. 48,3 (2007), 443-458.
  • [13] J. Musielak, Orlicz spaces and Modular spaces, Lecture notes in math. 1034 Springer-Verlag, 1983.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-95dba5c1-eefa-41a1-8463-8cd5b2000cc1
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.