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Title: Necessary and sufficient conditions for imbeddings in weighted Sobolev spaces (English)
Title: Nutné a postačující podmínky pro vnoření váhových sobolevových prostorů (Czech)
Author: Opic, Bohumír
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 114
Issue: 4
Year: 1989
Pages: 343-355
Summary lang: English
Summary lang: Czech
Summary lang: Russian
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Category: math
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MSC: 46E35
idZBL: Zbl 0704.46021
idMR: MR1027230
DOI: 10.21136/CPM.1989.118389
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Date available: 2009-09-23T09:54:25Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/118389
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Reference: [1] A. Avantaggiati: On compact embedding theorems in weighted Sobolev spaces.Czechoslovak Math. J., 29 (104) (1979), no. 4, 635-648. Zbl 0432.46030, MR 0548224
Reference: [2] P. R. Halmos: Measure Theoгy.Graduate texts in mathematics 18, Springer-Verlag, New York-Heidelberg-Berlin, 1974.
Reference: [3] A. Kufner B. Opic: How to define reasonably weighted Sobolev spaces.Comment. Math. Univ. Carolinae, 25 (3) (1984), 537-554. MR 0775568
Reference: [4] P. Gurka B. Opic: Continuous and compact imbeddings of weighted Sobolev spaces I.Czechoslovak Math. J., 38( II3) (1988), 730-744. MR 0962916
Reference: [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 0899567
Reference: [6] B. Opic: Compact imbedding of weighted Sobolev space defined on an unbounded domain I.Časopis Pӗst. Mat., No. 1, 113 (1988), 60-73. Zbl 0646.46029, MR 0930807
Reference: [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 0962905
Reference: [8] B. Opic P. Gurka: Continuous and compact imbeddings of weighted Sobolev spaces II.Czechoslovak Math. J., 39 (114) (1989), 78-94. MR 0983485
Reference: [9] B. Opic A. Kufner: Remark on compactness of imbeddings in weighted spaces.Math. Nachr. 133 (1987), 63-70. MR 0912420
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