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 |
. |
Category:
|
math |
. |
MSC:
|
35J65 |
MSC:
|
46E30 |
MSC:
|
46E35 |
MSC:
|
47H30 |
idZBL:
|
Zbl 0784.46029 |
idMR:
|
MR1134951 |
DOI:
|
10.21136/CMJ.1991.102493 |
. |
Date available:
|
2008-06-09T15:41:51Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102493 |
. |
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 |
. |