Title:
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Decomposition of the weighted Sobolev space $W^{1,p}(\Omega,d_M^\epsilon)$ and its traces (English) |
Author:
|
Nekvinda, Aleš |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
|
43 |
Issue:
|
4 |
Year:
|
1993 |
Pages:
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713-722 |
. |
Category:
|
math |
. |
MSC:
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46E35 |
idZBL:
|
Zbl 0832.46027 |
idMR:
|
MR1258431 |
DOI:
|
10.21136/CMJ.1993.128429 |
. |
Date available:
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2009-09-24T09:34:51Z |
Last updated:
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2020-07-29 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/128429 |
. |
Reference:
|
[1] Nekvinda A.: Characterization of traces of the weighted Sobolev space $W^{1,p}(\Omega ,d_M^\varepsilon )$ on $M$.Czechoslovak Math. J. (to appear). MR 1258430 |
Reference:
|
[2] Rákosník J.: On embeddings and traces in Sobolev spaces with weights of power type.Approximation and Functional Spaces, Banach Center Publication, 22, PWN – Polish Scientific Publishers, Warsaw, 1989, pp. 331–339. MR 1097204 |
Reference:
|
[3] Nekvinda A., Pick L.: On traces on the weighted Sobolev spaces $H^{1,p}_{\varepsilon ,M}$.Funct. Approx. Comment. Math. 20 (1992), 143–151. MR 1201723 |
Reference:
|
[4] Edmunds, D. E., Kufner A., Rákosník J.: Embeddings of Sobolev spaces with weights of power type.Z. Anal. Anwend. 4 (1985), 25–34. MR 0787397, 10.4171/ZAA/134 |
Reference:
|
[5] Maz’ja V. G., Plamenevskij B. A.: Weighted spaces with inhomogeneous norms and boundary value problems in domains with conical points.Elliptische Differentialgleichungen (Tagung in Rostock 1977), WPU, Rostock, 1978, pp. 161–190. (Russian) MR 0540196 |
Reference:
|
[6] Kufner A., Fučík S., John O.: Function Spaces.Academia, Prague, 1977. MR 0482102 |
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