$A_r$-condition for two weight functions and compact imbeddings of weighted Sobolev spaces

 Access to full text

 Full (PDF)

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). 

1. Bohumír Opic, Petr Gurka, Continuous and compact imbeddings of weighted Sobolev spaces. II
2. Petr Gurka, Bohumír Opic, Continuous and compact imbeddings of weighted Sobolev spaces. I
3. Bohumír Opic, Necessary and sufficient conditions for imbeddings in weighted Sobolev spaces