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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 78, Issue 1, Pages 91–112
DOI: https://doi.org/10.1070/SM1994v078n01ABEH003460 (Mi sm958) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On conditions for extending the trace and imbedding for Banach spaces of infinitely differentiable functions

G. S. Balashova

Moscow Power Engineering Institute (Technical University)
English version PDF (754 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM1994v078n01ABEH003460
Abstract: This paper is a continuation of investigations begun in [1]–[3]. Conditions are obtained for the existence of a function in an infinite-order Sobolev space with specified values of the function itself and of all its derivatives on the boundary of the domain, and criteria are established for imbeddings and compact imbeddings of some of the indicated spaces.
Received: 02.09.1991
Bibliographic databases:
UDC: 517.9
MSC: 46E35, 46E15
Language: English
Original paper language: Russian
Citation: G. S. Balashova, “On conditions for extending the trace and imbedding for Banach spaces of infinitely differentiable functions”, Russian Acad. Sci. Sb. Math., 78:1 (1994), 91–112
Citation in format AMSBIB
\Bibitem{Bal93}
\by G.~S.~Balashova
\paper On conditions for extending the~trace and imbedding for Banach spaces of infinitely differentiable functions
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 78
\issue 1
\pages 91--112
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\zmath{https://zbmath.org/?q=an:0834.46022}
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  • https://www.mathnet.ru/eng/sm/v184/i1/p105
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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