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Zapiski Nauchnykh Seminarov LOMI, 1977, Volume 69, Pages 106–123 (Mi znsl1985)  
This article is cited in 3 scientific papers (total in 3 papers)

Traces on surfaces for function classes with dominant mixed derivatives

E. L. Korotyaev, D. R. Yafaev
Full-text PDF (749 kB) Citations (3)
Abstract: Spaces of Sobolev type are considered in which the principal part of the norm is determined by mixed derivatives. Theorems on the imbedding of such spaces in the space $L_2(S)$ are established; $S$ is a surface of codimension 1. The imbedding conditions depend on the order of tangency of the surface $S$ with hyperplanes parallel to certain coordinate axes.
English version:
Journal of Soviet Mathematics, 1978, Volume 10, Issue 1, Pages 73–86
DOI: https://doi.org/10.1007/BF01109725
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: E. L. Korotyaev, D. R. Yafaev, “Traces on surfaces for function classes with dominant mixed derivatives”, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Zap. Nauchn. Sem. LOMI, 69, "Nauka", Leningrad. Otdel., Leningrad, 1977, 106–123; J. Soviet Math., 10:1 (1978), 73–86
Citation in format AMSBIB
\Bibitem{KorYaf77}
\by E.~L.~Korotyaev, D.~R.~Yafaev
\paper Traces on surfaces for function classes with dominant mixed derivatives
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1977
\vol 69
\pages 106--123
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1985}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=482144}
\zmath{https://zbmath.org/?q=an:0388.46027|0357.46040}
\transl
\jour J. Soviet Math.
\yr 1978
\vol 10
\issue 1
\pages 73--86
\crossref{https://doi.org/10.1007/BF01109725}
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  • https://www.mathnet.ru/eng/znsl/v69/p106
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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