Best Constants for the Inequalities between Equivalent Norms in Orlicz Spaces

• Autorzy: Bang H. H. , Hoang N. V. , Huy V. N.

Identyfikatory

DOI

10.4064/ba59-2-6

• 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

• Wydawca: Instytut Matematyczny PAN
• 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

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• [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.