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Article

Title: On anisotropic imbeddings (English)
Author: Krbec, Miroslav
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 25
Issue: 3
Year: 1984
Pages: 473-481
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Category: math
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MSC: 46E35
idZBL: Zbl 0564.46029
idMR: MR775565
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Date available: 2008-06-05T21:19:08Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106321
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Reference: [1] R. A. ADAMS: Sobolev spaces.Academic Press, New York - San Francisco - London 1975. Zbl 0314.46030, MR 0450957
Reference: [2] A. BENEDEK R. PANZONE: The spaces $L^p$ with mixed norms.Duke Math. J. 28 (1961), 301-324. MR 0126155
Reference: [3] J. BERGH J. LÖFSTRÖM: Interpolation spaces.Springer-Verlag, Berlin - Heidelberg - New York 1976. MR 0482275
Reference: [4] O. V. BESOV V. P. IL'JIN S. M. NIKOLSKII: Integral representation of functions and imbedding theorems.Nauka, Moscow 1975 (Russian).
Reference: [5] L. I. HEDBERG: On certain convolution inequalities.Proc. Amer. Math. Soc. 36 (1972), 505-510. MR 0312232
Reference: [6] J. MOSER: A sharp form of an inequality by N. Trudinger.Indiana Univ. Math. J. 20 (1971), 1077-1092. MR 0301504
Reference: [7] J. PEETRE: Espaces d'interpolation et théorème de Soboleff.Ann. Inst. Fourier Univ. Grenoble 16 (1966), 279-317. Zbl 0151.17903, MR 0221282
Reference: [8] J. RÁKOSNÍK: Some remarks to anisotropic Sobolev spaces I.Beiträge zur Analysis 13 (1979), 55-68. MR 0536217
Reference: [9] R. S. STRICHARTZ: A note on Trudinger's extension of Sobolev's inequalities.Indiana Univ. Math. J. 21 (1972), 841-842. Zbl 0241.46028, MR 0293389
Reference: [10] H. TRIEBEL: Interpolation theory, function spaces, differential operators.VEB Deutscher Verlag der Wissenschaften, Berlin 1978. Zbl 0387.46033, MR 0500580
Reference: [11] N. S. TRUDINQER: On imbeddings into Orlicz spaces and some applications.J. Math. Mech. 17 (1967), 473-483. MR 0216286
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