A r -condition for two weight functions and compact imbeddings of weighted Sobolev spaces

Bohumír Opic; Petr Gurka

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 4, page 611-617
  • ISSN: 0011-4642

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Opic, Bohumír, and Gurka, Petr. "$A_r$-condition for two weight functions and compact imbeddings of weighted Sobolev spaces." Czechoslovak Mathematical Journal 38.4 (1988): 611-617. <http://eudml.org/doc/13735>.

@article{Opic1988,
author = {Opic, Bohumír, Gurka, Petr},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {611-617},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$A_r$-condition for two weight functions and compact imbeddings of weighted Sobolev spaces},
url = {http://eudml.org/doc/13735},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Opic, Bohumír
AU - Gurka, Petr
TI - $A_r$-condition for two weight functions and compact imbeddings of weighted Sobolev spaces
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 4
SP - 611
EP - 617
LA - eng
UR - http://eudml.org/doc/13735
ER -

References

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  1. Avantaggiati A., On compact embedding theorems in weighted Sobolev spaces;, Czechoslovak Math. J., 29 (104) (1979), no. 4, 635-648, MR 81b : 46040. (1979) Zbl0432.46030MR0548224
  2. Gurka P., Kufner A., A note on a two-weighted Sobolev inequality;, Banach Center Publications, 27th semester, Approx. Theory and Function Spaces, February- May 1986 (to appear). (1986) 
  3. Korenev U. K., A remark on the conditions for complete continuity of an imbedding operator, (Russian); Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1982, vyp. 1, 118-123, MR 83f : 46035. (1982) MR0652070
  4. Kufner A., John O., Fučík S., Function spaces;, Academia Praha 1977. (1977) MR0482102
  5. Lizorkin P. J., Otelbaev M., Imbedding and compactness theorems for Sobolev type spaces with weights I, II, (Russian); Mat. Sb. (N.S.) 108 (150), (1979), no. 3, 358-377, MR 80j : : 46054; 112 (154) (1980), no. 1 (5), 56-85, MR 82i : 46051. (1979) MR0530316
  6. Maz'ja V. G., Sobolev spaces, (Russian), Izdatelstvo Leningradskogo Universiteta, Leningrad 1985. (1985) Zbl0692.46023
  7. Opic В., Compact imbedding of weighted Sobolev space defined on an unbounded domain I, II, Časopis Pěst. Mat. 113 (1988), 60-73; 113 (1988), 293-308. (1988) MR0930807
  8. Opic В., Necessary and sufficient conditions for compactness of an imbedding in weighted Sobolev spaces, Časopis Pěst. Mat. (to appear). 

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