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Mathematics of the USSR-Sbornik, 1987, Volume 56, Issue 1, Pages 63–78
DOI: https://doi.org/10.1070/SM1987v056n01ABEH003024
(Mi sm2018)
 

This article is cited in 5 scientific papers (total in 5 papers)

Imbedding theorems for Banach spaces of infinitely differentiable functions

G. S. Balashova
References:
Abstract: Algebraic conditions are obtained for imbedding of the spaces
$$ W^{\infty}\{a_n,p,r\}_{(G)}=\biggl\{u(x)\in C^\infty(G):\sum_{n=0}^\infty a_n\|D^nu\| _r^p<\infty\biggr\}, $$
where $G$ can be a closed interval, the line, a ray, or the circle. The imbedding conditions depend on the form of the domain.
Bibliography: 15 titles.
Received: 19.04.1984
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 128(170), Number 1(9), Pages 66–81
Bibliographic databases:
UDC: 517.5
MSC: 46E35
Language: English
Original paper language: Russian
Citation: G. S. Balashova, “Imbedding theorems for Banach spaces of infinitely differentiable functions”, Mat. Sb. (N.S.), 128(170):1(9) (1985), 66–81; Math. USSR-Sb., 56:1 (1987), 63–78
Citation in format AMSBIB
\Bibitem{Bal85}
\by G.~S.~Balashova
\paper Imbedding theorems for Banach spaces of infinitely differentiable functions
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 128(170)
\issue 1(9)
\pages 66--81
\mathnet{http://mi.mathnet.ru/sm2018}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=805696}
\zmath{https://zbmath.org/?q=an:0615.46029}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 56
\issue 1
\pages 63--78
\crossref{https://doi.org/10.1070/SM1987v056n01ABEH003024}
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  • https://doi.org/10.1070/SM1987v056n01ABEH003024
  • https://www.mathnet.ru/eng/sm/v170/i1/p66
  • This publication is cited in the following 5 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:384
    Russian version PDF:108
    English version PDF:28
    References:59
     
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