Traces of a weighted Sobolev space in a singular case

Jan Lang; Aleš Nekvinda

Czechoslovak Mathematical Journal (1995)

  • Volume: 45, Issue: 4, page 639-657
  • ISSN: 0011-4642

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Lang, Jan, and Nekvinda, Aleš. "Traces of a weighted Sobolev space in a singular case." Czechoslovak Mathematical Journal 45.4 (1995): 639-657. <http://eudml.org/doc/31507>.

@article{Lang1995,
author = {Lang, Jan, Nekvinda, Aleš},
journal = {Czechoslovak Mathematical Journal},
keywords = {Lipschitz boundary; Sobolev space; space of traces},
language = {eng},
number = {4},
pages = {639-657},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Traces of a weighted Sobolev space in a singular case},
url = {http://eudml.org/doc/31507},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Lang, Jan
AU - Nekvinda, Aleš
TI - Traces of a weighted Sobolev space in a singular case
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 4
SP - 639
EP - 657
LA - eng
KW - Lipschitz boundary; Sobolev space; space of traces
UR - http://eudml.org/doc/31507
ER -

References

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  1. On embeddings and traces in Sobolev spaces with weights of power type, Approximation and Function Spaces, vol. 22, Banach Center Publications. PWN  – Polish Scientific Publishers, Warsaw, 1989, pp. 331–339. (1989) MR1097204
  2. Characterization of traces of the weighted Sobolev space H ε , M 1 , p , Functiones et Approximatio 20 (1992), 143–151. (1992) MR1201723
  3. Weighted spaces with inhomogeneous norms and boundary value problems in domains with conical points, Elliptische Differentialgleichungen, (Tagung in Rostock 1977), WPU Rostock, 1978, pp. 169–190. (1978) 
  4. Weighted Sobolev Spaces, John Wiley + Sons, Chichester-New York-Brisbane-Toronto-Singapore, 1985. (1985) Zbl0579.35021MR0802206
  5. Caratterizzazioni delle trace sulla frontiera relative ad alcuna di funzioni in n variabili, Rend. Sem. Mat. Univ. Padova 27 (1957), 284–305. (1957) MR0102739
  6. Characterization of functions with zero traces by integrals with weight functions I, II, Časopis Pěst. Mat. 91 (1966), 463–471, 92(1967), 16–28. (1966) MR0212559
  7. Hardy-type Inequalities, Pitman Research Notes Math. Series 219, Longman Scientific and Technical, 1990. (1990) MR1069756
  8. Weighted norm inequalities and related topics, Math. Studies 116 (1985), North Holland. (1985) MR0807149
  9. Characterization of traces of weighted Sobolev spaces with W 1 , p ( Ω , d M p ) on M , Czech Math. Journal 43 (118) (1993), 695–722. (1993) MR1258430

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