Decomposition of the weighted Sobolev space W 1 , p ( Ω , d M ϵ ) and its traces

Aleš Nekvinda

Czechoslovak Mathematical Journal (1993)

  • Volume: 43, Issue: 4, page 713-722
  • ISSN: 0011-4642

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Nekvinda, Aleš. "Decomposition of the weighted Sobolev space $W^{1,p}(\Omega ,d_M^\epsilon )$ and its traces." Czechoslovak Mathematical Journal 43.4 (1993): 713-722. <http://eudml.org/doc/31376>.

@article{Nekvinda1993,
author = {Nekvinda, Aleš},
journal = {Czechoslovak Mathematical Journal},
keywords = {Sobolev space; decomposition; zero trace; trace mappings},
language = {eng},
number = {4},
pages = {713-722},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Decomposition of the weighted Sobolev space $W^\{1,p\}(\Omega ,d_M^\epsilon )$ and its traces},
url = {http://eudml.org/doc/31376},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Nekvinda, Aleš
TI - Decomposition of the weighted Sobolev space $W^{1,p}(\Omega ,d_M^\epsilon )$ and its traces
JO - Czechoslovak Mathematical Journal
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 4
SP - 713
EP - 722
LA - eng
KW - Sobolev space; decomposition; zero trace; trace mappings
UR - http://eudml.org/doc/31376
ER -

References

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  1. Characterization of traces of the weighted Sobolev space W 1 , p ( Ω , d M ε ) on M , Czechoslovak Math. J. (to appear). (to appear) MR1258430
  2. 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. (1989) MR1097204
  3. On traces on the weighted Sobolev spaces H ε , M 1 , p , Funct. Approx. Comment. Math. 20 (1992), 143–151. (1992) MR1201723
  4. 10.4171/ZAA/134, Z. Anal. Anwend. 4 (1985), 25–34. (1985) MR0787397DOI10.4171/ZAA/134
  5. 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) (1978) MR0540196
  6. Function Spaces, Academia, Prague, 1977. (1977) MR0482102

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