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Matematicheskie Zametki, 1969, Volume 6, Issue 2, Pages 129–138 (Mi mzm6916)  

This article is cited in 7 scientific papers (total in 7 papers)

An embedding theorem for a limiting exponent

O. V. Besova, V. P. Il'inb

a Steklov Mathematical Institute, Russian Academy of Sciences
b Leningrad Department of V. A. Steklov Institute of Mathematics, USSR Academy of Sciences
Full-text PDF (534 kB) Citations (7)
Abstract: We consider the function space $B_{p,\theta}^l(\Omega)$ of functions $f(x)$, defined on the domain $\Omega$ of a certain class and characterized by specific differential-difference properties in $L_p(\Omega)$. We prove a theorem on the embedding $B_{p,q}^l\subset\Omega)$ in the case when $l=n/p-n/q>0$ and its generalization for vector $l$, $p$, $q$.
Received: 11.11.1968
English version:
Mathematical Notes, 1969, Volume 6, Issue 2, Pages 537–542
DOI: https://doi.org/10.1007/BF01093694
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. V. Besov, V. P. Il'in, “An embedding theorem for a limiting exponent”, Mat. Zametki, 6:2 (1969), 129–138; Math. Notes, 6:2 (1969), 537–542
Citation in format AMSBIB
\Bibitem{BesIli69}
\by O.~V.~Besov, V.~P.~Il'in
\paper An embedding theorem for a~limiting exponent
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 2
\pages 129--138
\mathnet{http://mi.mathnet.ru/mzm6916}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=259588}
\zmath{https://zbmath.org/?q=an:0188.43903|0179.17702}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 2
\pages 537--542
\crossref{https://doi.org/10.1007/BF01093694}
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  • https://www.mathnet.ru/eng/mzm/v6/i2/p129
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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