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 |
. |
Category:
|
math |
. |
MSC:
|
46E35 |
idZBL:
|
Zbl 0564.46029 |
idMR:
|
MR775565 |
. |
Date available:
|
2008-06-05T21:19:08Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106321 |
. |
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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