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Opic, Bohumír. Necessary and sufficient conditions for imbeddings in weighted Sobolev spaces. Časopis pro pěstování matematiky, Tome 114 (1989) no. 4, pp. 343-355. doi: 10.21136/CPM.1989.118389
@article{10_21136_CPM_1989_118389,
author = {Opic, Bohum{\'\i}r},
title = {Necessary and sufficient conditions for imbeddings in weighted {Sobolev} spaces},
journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
pages = {343--355},
year = {1989},
volume = {114},
number = {4},
doi = {10.21136/CPM.1989.118389},
mrnumber = {1027230},
zbl = {0704.46021},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1989.118389/}
}
TY - JOUR AU - Opic, Bohumír TI - Necessary and sufficient conditions for imbeddings in weighted Sobolev spaces JO - Časopis pro pěstování matematiky PY - 1989 SP - 343 EP - 355 VL - 114 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1989.118389/ DO - 10.21136/CPM.1989.118389 LA - en ID - 10_21136_CPM_1989_118389 ER -
%0 Journal Article %A Opic, Bohumír %T Necessary and sufficient conditions for imbeddings in weighted Sobolev spaces %J Časopis pro pěstování matematiky %D 1989 %P 343-355 %V 114 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1989.118389/ %R 10.21136/CPM.1989.118389 %G en %F 10_21136_CPM_1989_118389
[1] A. Avantaggiati: On compact embedding theorems in weighted Sobolev spaces. Czechoslovak Math. J., 29 (104) (1979), no. 4, 635-648. | MR | Zbl
[2] P. R. Halmos: Measure Theoгy. Graduate texts in mathematics 18, Springer-Verlag, New York-Heidelberg-Berlin, 1974.
[3] A. Kufner B. Opic: How to define reasonably weighted Sobolev spaces. Comment. Math. Univ. Carolinae, 25 (3) (1984), 537-554. | MR
[4] P. Gurka B. Opic: Continuous and compact imbeddings of weighted Sobolev spaces I. Czechoslovak Math. J., 38( II3) (1988), 730-744. | MR
[5] B. Opic: Some remarks to a compact imbedding of a weighted Sobolev space defined on an unbounded domain. А. Haaг. Mem. Conf., Budapest/Hungary 1985, Colloq. Math. Soc. János Bolyai 49 (1987), 667-673. | MR
[6] B. Opic: Compact imbedding of weighted Sobolev space defined on an unbounded domain I. Časopis Pӗst. Mat., No. 1, 113 (1988), 60-73. | MR | Zbl
[7] B. Opic P. Gurka: Ar-condition for two weight fnnctions and compact imbeddings of weighted Sobolev spaces. Czechoslovak Math. J., 38 (I13) (1988), 611-617. | MR
[8] B. Opic P. Gurka: Continuous and compact imbeddings of weighted Sobolev spaces II. Czechoslovak Math. J., 39 (114) (1989), 78-94. | MR
[9] B. Opic A. Kufner: Remark on compactness of imbeddings in weighted spaces. Math. Nachr. 133 (1987), 63-70. | MR
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