On a property of phi-variational modular spaces

• Autorzy: Wang J. , Wu C.
• Języki publikacji: EN

Abstrakty

EN

Maligranda pointed out whether condition (B.1) is satisfied in the variational modular space X*ρ is an open problem. We will answer this open problem in X*ρ', a subspace of X*ρ. As a consequence this modular space X*ρ' can be F-normed.

Słowa kluczowe

EN

condition (B.1); modular; phi-function; phi-variation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2010
• Tom: Vol. 30, no. 2
• Strony: 209--215
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Wang J.

autor

Wu C.

• Suzhou University Department of Mathematics Suzhou, 215006 P.R. China,

Bibliografia

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• [2] L. Maligranda, W. Orlicz, On some properties of functions of generalized variation, Monatsh. Math. 104 (1987), 53–65.
• [3] S. Mazur, W. Orlicz, On some classes of linear spaces, Studia Math. 17 (1958), 97–119.
• [4] J. Musielak, W. Orlicz, On generalized variation, Studia Math. 28 (1959), 11–41.
• [5] J. Musielak, W. Orlicz, On modular spaces, Studia Math. 18 (1959), 49–65.
• [6] J. Musielak, Orlicz Spaces and Modular Spaces, Lecture Notes in Math., 1034, Springer-Varlag, 1983.
• [7] H. Nakano, Modulared Semi-ordered Spaces, Tokyo, 1950.
• [8] Wang Jin Cai, H. Hudzik, A note on [-variational modular spaces, Commentationes Mathematicae 41 (2001), 93–98.