Continuous and compact imbeddings of weighted Sobolev spaces. I

Petr Gurka; Bohumír Opic

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 4, page 730-744
  • ISSN: 0011-4642

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Gurka, Petr, and Opic, Bohumír. "Continuous and compact imbeddings of weighted Sobolev spaces. I." Czechoslovak Mathematical Journal 38.4 (1988): 730-744. <http://eudml.org/doc/13747>.

@article{Gurka1988,
author = {Gurka, Petr, Opic, Bohumír},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {730-744},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Continuous and compact imbeddings of weighted Sobolev spaces. I},
url = {http://eudml.org/doc/13747},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Gurka, Petr
AU - Opic, Bohumír
TI - Continuous and compact imbeddings of weighted Sobolev spaces. I
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 4
SP - 730
EP - 744
LA - eng
UR - http://eudml.org/doc/13747
ER -

References

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  1. Guzmán M., Differentiation of integrals in R n , Lecture Notes in Mathematics 481, Springer-Verlag, Berlin-Heidelberg-New York 1975. (1975) MR0457661
  2. Kufner A., Weighted Sobolev spaces, John Wiley & Sons, Chichester-New York- Brisbane-Toronto-Singapore 1985. (1985) Zbl0579.35021MR0802206
  3. Kufner A., John O., Fučík S., Function spaces, Academia Praha 1977. (1977) MR0482102
  4. Kufner A., Opic В., How to define reasonably weighted Sobolev spaces, Comment. Math. Univ. Carolinae, 25 (3) (1984), 537. (1984) Zbl0557.46025MR0775568
  5. Lizorkin P. I., 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; 1J2 (154) (1980), No 1 (5), 56-85, MR 82i : 46051. (1979) MR0530316
  6. Opic В., Necessary and sufficient conditions for compactness of imbeddings in weighted Sobolev spaces, Časopis Pěst. Mat. (to appear). 
  7. Opic В., Gurka P., A r -condition for two weight functions and compact imbeddings of weighted Sobolev spaces, Czechoslovak Math. J. 38(133) (1988), 611-617. (1988) Zbl0676.46029MR0962905
  8. Zajaczkowski W., On theorem of embedding for weighed Sobolev spaces, Bulletin of the Polish Academy of Sciences Mathematics, 32 (1985), No 3 - 4, 115-121. (1985) MR0805024

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