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Abstrakty
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.
Wydawca
Czasopismo
Rocznik
Tom
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.
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Bibliografia
Identyfikator YADDA
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