Continuous and compact imbeddings of weighted Sobolev spaces. II

Bohumír Opic; Petr Gurka

Czechoslovak Mathematical Journal (1989)

  • Volume: 39, Issue: 1, page 78-94
  • ISSN: 0011-4642

How to cite

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Opic, Bohumír, and Gurka, Petr. "Continuous and compact imbeddings of weighted Sobolev spaces. II." Czechoslovak Mathematical Journal 39.1 (1989): 78-94. <http://eudml.org/doc/13756>.

@article{Opic1989,
author = {Opic, Bohumír, Gurka, Petr},
journal = {Czechoslovak Mathematical Journal},
keywords = {Hardy inequality; continuous and compact imbeddings of weighted Sobolev spaces; weighted Lebesgue spaces; power-type weights; bounded domain},
language = {eng},
number = {1},
pages = {78-94},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Continuous and compact imbeddings of weighted Sobolev spaces. II},
url = {http://eudml.org/doc/13756},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Opic, Bohumír
AU - Gurka, Petr
TI - Continuous and compact imbeddings of weighted Sobolev spaces. II
JO - Czechoslovak Mathematical Journal
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 1
SP - 78
EP - 94
LA - eng
KW - Hardy inequality; continuous and compact imbeddings of weighted Sobolev spaces; weighted Lebesgue spaces; power-type weights; bounded domain
UR - http://eudml.org/doc/13756
ER -

References

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  1. Burenkov V. I., Mollifying operators with variable step and their application to approximation by infinitely differentiable functions, Proceedings of the Spring School held in Písek 1982, Teubner-Leipzig 1983. (1982) Zbl0536.46021MR0684996
  2. Gurka P., Opic B., Continuous and compact imbeddings of weighted Sobolev spaces I, Czechoslovak Math. J.38 (113) (1988), 611-617. (1988) Zbl0676.46030MR0962916
  3. Kufner A., Weighted Sobolev spaces, John Wiley & Sons, Chichester-New York-Brisbane-Toronto-Singapore 1985. (1985) Zbl0579.35021MR0802206
  4. Maz'ja V. G., Sobolev spaces, (Russian). Izdatelstvo Leningradskogo Universiteta, Leningrad 1985. (1985) Zbl0692.46023
  5. Opic B., Kufner A., Weighted Sobolev spaces and the N -dimensional Hardy inequality, (Russian). Trudy sem. S. L. Soboleva (1983), No. 1, 108-117. (1983) MR0738991
  6. Opic B., Hardy's inequality for absolutely continuous functions with zero limits on both ends of the interval, (to appear). 

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