| Title:
|
$A_r$-condition for two weight functions and compact imbeddings of weighted Sobolev spaces (English) |
| Author:
|
Opic, Bohumír |
| Author:
|
Gurka, Petr |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
1988 |
| Pages:
|
611-617 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 0676.46029 |
| idMR:
|
MR962905 |
| DOI:
|
10.21136/CMJ.1988.102257 |
| . |
| Date available:
|
2008-06-09T15:23:39Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102257 |
| . |
| Reference:
|
[1] Avantaggiati A.: On compact embedding theorems in weighted Sobolev spaces;.Czechoslovak Math. J., 29 (104) (1979), no. 4, 635-648, MR 81b : 46040. Zbl 0432.46030, MR 0548224 |
| Reference:
|
[2] Gurka P., Kufner A.: A note on a two-weighted Sobolev inequality;.Banach Center Publications, 27th semester, Approx. Theory and Function Spaces, February- May 1986 (to appear). |
| Reference:
|
[3] Korenev U. K.: A remark on the conditions for complete continuity of an imbedding operator.(Russian); Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1982, vyp. 1, 118-123, MR 83f : 46035. MR 0652070 |
| Reference:
|
[4] Kufner A., John O., Fučík S.: Function spaces;.Academia Praha 1977. MR 0482102 |
| Reference:
|
[5] Lizorkin P. J., Otelbaev M.: Imbedding and compactness theorems for Sobolev type spaces with weights I, II.(Russian); Mat. Sb. (N.S.) 108 (150), (1979), no. 3, 358-377, MR 80j : : 46054; 112 (154) (1980), no. 1 (5), 56-85, MR 82i : 46051. MR 0530316 |
| Reference:
|
[6] Maz'ja V. G.: Sobolev spaces.(Russian), Izdatelstvo Leningradskogo Universiteta, Leningrad 1985. Zbl 0692.46023 |
| Reference:
|
[7] Opic В.: Compact imbedding of weighted Sobolev space defined on an unbounded domain I, II.Časopis Pěst. Mat. 113 (1988), 60-73; 113 (1988), 293-308. MR 0930807 |
| Reference:
|
[8] Opic В.: Necessary and sufficient conditions for compactness of an imbedding in weighted Sobolev spaces.Časopis Pěst. Mat. (to appear). |
| . |
