| Title:
|
Continuous and compact imbeddings of weighted Sobolev spaces. I (English) |
| Author:
|
Gurka, Petr |
| Author:
|
Opic, Bohumír |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
1988 |
| Pages:
|
730-744 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 0676.46030 |
| idMR:
|
MR962916 |
| DOI:
|
10.21136/CMJ.1988.102269 |
| . |
| Date available:
|
2008-06-09T15:24:37Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102269 |
| . |
| Reference:
|
[1] Guzmán M.: Differentiation of integrals in $R\sp{n}$.Lecture Notes in Mathematics 481, Springer-Verlag, Berlin-Heidelberg-New York 1975. MR 0457661 |
| Reference:
|
[2] Kufner A.: Weighted Sobolev spaces.John Wiley & Sons, Chichester-New York- Brisbane-Toronto-Singapore 1985. Zbl 0579.35021, MR 0802206 |
| Reference:
|
[3] Kufner A., John O., Fučík S.: Function spaces.Academia Praha 1977. MR 0482102 |
| Reference:
|
[4] Kufner A., Opic В.: How to define reasonably weighted Sobolev spaces.Comment. Math. Univ. Carolinae, 25 (3) (1984), 537. Zbl 0557.46025, MR 0775568 |
| Reference:
|
[5] Lizorkin P. I., 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; 1J2 (154) (1980), No 1 (5), 56-85, MR 82i : 46051. MR 0530316 |
| Reference:
|
[6] Opic В.: Necessary and sufficient conditions for compactness of imbeddings in weighted Sobolev spaces.Časopis Pěst. Mat. (to appear). |
| Reference:
|
[7] Opic В., Gurka P.: $A\sb r$-condition for two weight functions and compact imbeddings of weighted Sobolev spaces.Czechoslovak Math. J. 38(133) (1988), 611-617. Zbl 0676.46029, MR 0962905 |
| Reference:
|
[8] Zajaczkowski W.: On theorem of embedding for weighed Sobolev spaces.Bulletin of the Polish Academy of Sciences Mathematics, 32 (1985), No 3 - 4, 115-121. MR 0805024 |
| . |
