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Title: Continuous and compact imbeddings of weighted Sobolev spaces. III (English)
Author: Gurka, Petr
Author: Opic, Bohumír
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 41
Issue: 2
Year: 1991
Pages: 317-341
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Category: math
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MSC: 46E35
idZBL: Zbl 0745.46038
idMR: MR1105449
DOI: 10.21136/CMJ.1991.102466
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Date available: 2008-06-09T15:39:36Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102466
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Reference: [1] Adams R. A.: Sobolev spaces.Academic Press (1975), New York-San Francisco-London. Zbl 0314.46030, MR 0450957
Reference: [2] Burenkov V. J.: Mollifying operators with variable step and their application to approximation by infinitely differentiable functions.Nonlinear analysis, Function Spaces and Applications, vol 2, Proceedings of the Spring School held in Písek, Teubner-Texte zur Mathematik, Band 49 (1982), Leipzig, 5-37. Zbl 0536.46021, MR 0684996
Reference: [3] Gurka P.: Generalized Hardy's inequality for functions vanishing on both ends of the interval.(to appear in Analysis).
Reference: [4] Gurka P., Opic B.: Continuous and compact imbeddings in weighted Sobolev spaces I.Czechoslovak Math. J. 38 No. 4, (1988), 730-744. MR 0962916
Reference: [5] Gurka P., Opic B.: Continuous and compact imbeddings in weighted Sobolev spaces II.Czechoslovak Math. J. 39 No. 1, (1989), 78-94. MR 0983485
Reference: [6] Maz'ja V. G.: Sobolev spaces.Springer-Verlag, 1985. Zbl 0692.46023, MR 0817985
Reference: [7] Opic B.: Hardy's inequality for absolutely continuous functions with zero limits on both ends of the interval.(to appear).
Reference: [8] Opic B., Gurka P.: $N$-dimensional Hardy inequality and imbedding theorems for weighted Sobolev spaces on unbounded domains.Function spaces, differential operators and nonlinear analysis; Proc. of the International Summer School on Function Spaces, Differential Operators and Nonlinear Analysis held in Sodankylä. Longman Scientic & Technical (1989), 108-124. Zbl 0695.46017, MR 1041113
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