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Mathematics of the USSR-Sbornik, 1970, Volume 11, Issue 3, Pages 339–353
DOI: https://doi.org/10.1070/SM1970v011n03ABEH001297
(Mi sm3456)
 

This article is cited in 1 scientific paper (total in 1 paper)

On imbedding theorems for symmetric spaces

V. S. Klimov
References:
Abstract: In this report there are established embedding theorems for spaces of functions $u(x_1,\dots,x_n)$ whose generalized derivatives lie in a symmetric space $P(\Omega)$. There are found conditions for separability and reflexivity of the spaces $W^r_p(\Omega)$, and the question of the continuity and complete continuity of the embedding operator of $W^r_p(\Omega)$ into various spaces of functionals is studied. Under certain additional restrictions on the region $\Omega$ and the space $P$, there are proved embedding theorems for the spaces $W^r_p$.
Bibliography: 19 titles.
Received: 02.07.1969
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 82(124), Number 3(7), Pages 371–386
Bibliographic databases:
UDC: 513.881+517.5
MSC: 46E35, 46B10, 47L10
Language: English
Original paper language: Russian
Citation: V. S. Klimov, “On imbedding theorems for symmetric spaces”, Mat. Sb. (N.S.), 82(124):3(7) (1970), 371–386; Math. USSR-Sb., 11:3 (1970), 339–353
Citation in format AMSBIB
\Bibitem{Kli70}
\by V.~S.~Klimov
\paper On~imbedding theorems for symmetric spaces
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 82(124)
\issue 3(7)
\pages 371--386
\mathnet{http://mi.mathnet.ru/sm3456}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=284805}
\zmath{https://zbmath.org/?q=an:0199.18604|0216.15704}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 11
\issue 3
\pages 339--353
\crossref{https://doi.org/10.1070/SM1970v011n03ABEH001297}
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  • https://doi.org/10.1070/SM1970v011n03ABEH001297
  • https://www.mathnet.ru/eng/sm/v124/i3/p371
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:383
    Russian version PDF:107
    English version PDF:23
    References:72
     
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