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Title: Traces of a weighted Sobolev space in a singular case (English)
Author: Lang, J.
Author: Nekvinda, A.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 45
Issue: 4
Year: 1995
Pages: 639-657
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Category: math
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MSC: 46E35
idZBL: Zbl 0881.46028
idMR: MR1354923
DOI: 10.21136/CMJ.1995.128560
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Date available: 2009-09-24T09:51:23Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/128560
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Reference: [1] J. Rákosník: On embeddings and traces in Sobolev spaces with weights of power type.Approximation and Function Spaces, vol. 22, Banach Center Publications. PWN  – Polish Scientific Publishers, Warsaw, 1989, pp. 331–339. MR 1097204
Reference: [2] A. Nekvinda, L. Pick: Characterization of traces of the weighted Sobolev space $H^{1,p}_{\varepsilon ,M}$.Functiones et Approximatio 20 (1992), 143–151. MR 1201723
Reference: [3] V. G. Maz’ja, B. A. Plamenevskij: Weighted spaces with inhomogeneous norms and boundary value problems in domains with conical points.Elliptische Differentialgleichungen, (Tagung in Rostock 1977), WPU Rostock, 1978, pp. 169–190.
Reference: [4] A. Kufner: Weighted Sobolev Spaces.John Wiley + Sons, Chichester-New York-Brisbane-Toronto-Singapore, 1985. Zbl 0579.35021, MR 0802206
Reference: [5] E. Gagliardo: Caratterizzazioni delle trace sulla frontiera relative ad alcuna di funzioni in $n$ variabili.Rend. Sem. Mat. Univ. Padova 27 (1957), 284–305. MR 0102739
Reference: [6] J. Kadlec, A. Kufner: Characterization of functions with zero traces by integrals with weight functions I, II.Časopis Pěst. Mat. 91 (1966), 463–471, 92(1967), 16–28. MR 0212559
Reference: [7] B. Opic, A. Kufner: Hardy-type Inequalities.Pitman Research Notes Math. Series 219, Longman Scientific and Technical, 1990. MR 1069756
Reference: [8] J. García-Cuerva, J. L. Rubio de Francia: Weighted norm inequalities and related topics.Math. Studies 116 (1985), North Holland. MR 0807149
Reference: [9] A. Nekvinda: Characterization of traces of weighted Sobolev spaces with $W^{1,p}(\Omega ,d^p_M)$ on $M$.Czech Math. Journal 43 (118) (1993), 695–722. MR 1258430
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