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Title: On spaces $L^{p(x)}$ and $W^{k, p(x)}$ (English)
Author: Kováčik, Ondrej
Author: Rákosník, Jiří
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 41
Issue: 4
Year: 1991
Pages: 592-618
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Category: math
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MSC: 35J65
MSC: 46E30
MSC: 46E35
MSC: 47H30
idZBL: Zbl 0784.46029
idMR: MR1134951
DOI: 10.21136/CMJ.1991.102493
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Date available: 2008-06-09T15:41:51Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102493
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Reference: [1] F. E. Browder: Problémes non-linéaires.Seminaire de Mathématiques superieures. Montréal, 1966. Zbl 0153.17302, MR 0250140
Reference: [2] H. Hudzik: The problems of separability, duality, reflexivity and of comparision for generalized Orlicz-SoboIev space $W\sp{k}\sb{M}(\Omega )$.Comment. Math. 21 (1979), 315-324. MR 0577521
Reference: [3] A. Kozek: Convex integral functionals on Orlicz spaces.Comment. Math. 21 (1980), 109-135. MR 0577677
Reference: [4] M. A. Krasnoseľskii: Topological methods in the theory of nonlinear integral equations.(Russian) Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 1956. English transl.: Pergamon Press Book, The Macmillan Co., New York, 1964. MR 0159197
Reference: [5] M. A. Krasnoseľskii, Ya. B. Rutickii: Convex functions and Orlicz spaces.(Russian) Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow. 1958. English transl.: P. Noordhoff, Groningen, 1961. MR 0126722
Reference: [6] J.Musielak: Orlicz spaces and modular spaces.Springer-Verlag, Berlin, 1983. Zbl 0557.46020, MR 0724434
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