| Title:
|
Continuous and compact imbeddings of weighted Sobolev spaces. III (English) |
| Author:
|
Gurka, Petr |
| Author:
|
Opic, Bohumír |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
317-341 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 0745.46038 |
| idMR:
|
MR1105449 |
| DOI:
|
10.21136/CMJ.1991.102466 |
| . |
| Date available:
|
2008-06-09T15:39:36Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102466 |
| . |
| Reference:
|
[1] Adams R. A.: Sobolev spaces.Academic Press (1975), New York-San Francisco-London. Zbl 0314.46030, MR 0450957 |
| Reference:
|
[2] Burenkov V. J.: Mollifying operators with variable step and their application to approximation by infinitely differentiable functions.Nonlinear analysis, Function Spaces and Applications, vol 2, Proceedings of the Spring School held in Písek, Teubner-Texte zur Mathematik, Band 49 (1982), Leipzig, 5-37. Zbl 0536.46021, MR 0684996 |
| Reference:
|
[3] Gurka P.: Generalized Hardy's inequality for functions vanishing on both ends of the interval.(to appear in Analysis). |
| Reference:
|
[4] Gurka P., Opic B.: Continuous and compact imbeddings in weighted Sobolev spaces I.Czechoslovak Math. J. 38 No. 4, (1988), 730-744. MR 0962916 |
| Reference:
|
[5] Gurka P., Opic B.: Continuous and compact imbeddings in weighted Sobolev spaces II.Czechoslovak Math. J. 39 No. 1, (1989), 78-94. MR 0983485 |
| Reference:
|
[6] Maz'ja V. G.: Sobolev spaces.Springer-Verlag, 1985. Zbl 0692.46023, MR 0817985 |
| Reference:
|
[7] Opic B.: Hardy's inequality for absolutely continuous functions with zero limits on both ends of the interval.(to appear). |
| Reference:
|
[8] Opic B., Gurka P.: $N$-dimensional Hardy inequality and imbedding theorems for weighted Sobolev spaces on unbounded domains.Function spaces, differential operators and nonlinear analysis; Proc. of the International Summer School on Function Spaces, Differential Operators and Nonlinear Analysis held in Sodankylä. Longman Scientic & Technical (1989), 108-124. Zbl 0695.46017, MR 1041113 |
| . |
