Best Constants for the Inequalities between Equivalent Norms in Orlicz Spaces

• Autorzy: Bang, H. H. , Hoang, N. V. , Huy, V. N.
• Języki publikacji: EN

Abstrakty

EN

We investigate best constants for inequalities between the Orlicz norm and Luxemburg norm in Orlicz spaces.

Słowa kluczowe

EN

Orlicz spaces

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2011
• Tom: Vol. 59, no 2
• Strony: 165--174
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Bang, H. H.

• Institute of Mathematics Vietnamese Academy of Science and Technology 18 Hoang Quoc Viet Street, Cau Giay, Hanoi, Vietnam ,

autor

Hoang, N. V.

• Institute of Mathematics Vietnamese Academy of Science and Technology 18 Hoang Quoc Viet Street, Cau Giay, Hanoi, Vietnam ,

autor

Huy, V. N.

• Department of Mathematics College of Science Vietnam National University 334 Nguyen Trai Street Thanh Xuan, Hanoi, Vietnam ,

Bibliografia

• [1] S. T. Chen, Geometry of Orlicz Spaces, Dissertationes Math. 356 (1996), 204 pp.
• [2] M. A. Krasnosel’ski˘ı and Ya. B. Ruticki˘ı, Convex Functions and Orlicz Spaces, GITTL, Moscow, 1958 (in Russian); English transl., Noordhoff, 1961.
• [3] W. Luxemburg, Banach Function Spaces, Thesis, Technische Hogeschool te Delft, 1955.
• [4] L. Maligranda, Orlicz Spaces and Interpolation, Seminars in Math. 5, Univ. Estadual de Campinas, Campinas, SP, Brasil 1989.
• [5] J. Musielak, Orlicz Spaces and Modular Spaces, Lecture Notes in Math. 1034, Springer, Berlin, 1983.
• [6] R. O’Neil, Fractional integration in Orlicz space I, Trans. Amer. Math. Soc. 115 (1965), 300–328.
• [7] M. Rao and Z. Ren, Theory of Orlicz Spaces, Dekker, New York, 1991.
• [8] —, —, Applications of Orlicz Spaces, Dekker, New York, 2002.

Identyfikatory

DOI

10.4064/ba59-2-6