Best Constants for the Inequalities between Equivalent Norms in Orlicz Spaces (original) (raw)

Abstract

Dedicated to academician S. M. Nikol'skii on the occasion of his 105th birthday Summary. We investigate best constants for inequalities between the Orlicz norm and Luxemburg norm in Orlicz spaces.

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References (10)

1. S. T. Chen, Geometry of Orlicz Spaces, Dissertationes Math. 356 (1996), 204 pp.
2. M. A. Krasnosel'skiȋ and Ya. B. Rutickiȋ, Convex Functions and Orlicz Spaces, GITTL, Moscow, 1958 (in Russian);
3. English transl., Noordhoff, 1961.
4. W. Luxemburg, Banach Function Spaces, Thesis, Technische Hogeschool te Delft, 1955.
5. L. Maligranda, Orlicz Spaces and Interpolation, Seminars in Math. 5, Univ. Estadual de Campinas, Campinas, SP, Brasil 1989.
6. J. Musielak, Orlicz Spaces and Modular Spaces, Lecture Notes in Math. 1034, Sprin- ger, Berlin, 1983.
7. R. O'Neil, Fractional integration in Orlicz space I, Trans. Amer. Math. Soc. 115 (1965), 300-328.
8. M. Rao and Z. Ren, Theory of Orlicz Spaces, Dekker, New York, 1991.
9. -, -, Applications of Orlicz Spaces, Dekker, New York, 2002.
10. Ha Huy Bang, Nguyen Van Hoang Institute of Mathematics Vietnamese Academy of Science and Technology 18 Hoang Quoc Viet Street, Cau Giay, Hanoi, Vietnam E-mail: hhbang@math.ac.vn vanhoang0610@yahoo.com