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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 247, Pages 166–169 (Mi znsl569)  

This article is cited in 3 scientific papers (total in 3 papers)

Bernstein widths of embedding operators of Lebesgue spaces

O. G. Parfenov, M. W. Slupko

Pskov State Pedagogical Institute
Full-text PDF (127 kB) Citations (3)
Abstract: Let $(K,\mu)$ be a measurable space, and let $\mu(K)=1$. Let
$$ \textrm I_{p,q}\colon L^p\,(K,\mu)\longrightarrow L^q(K,\mu) $$
be the embedding operator. The Bernstein widths of $\textrm I_{p,q}$ are considered.
Received: 28.02.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 101, Issue 3, Pages 3146–3148
DOI: https://doi.org/10.1007/BF02673739
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: O. G. Parfenov, M. W. Slupko, “Bernstein widths of embedding operators of Lebesgue spaces”, Investigations on linear operators and function theory. Part 25, Zap. Nauchn. Sem. POMI, 247, POMI, St. Petersburg, 1997, 166–169; J. Math. Sci. (New York), 101:3 (2000), 3146–3148
Citation in format AMSBIB
\Bibitem{ParSlu97}
\by O.~G.~Parfenov, M.~W.~Slupko
\paper Bernstein widths of embedding operators of Lebesgue spaces
\inbook Investigations on linear operators and function theory. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 247
\pages 166--169
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl569}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692691}
\zmath{https://zbmath.org/?q=an:0961.46026}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 101
\issue 3
\pages 3146--3148
\crossref{https://doi.org/10.1007/BF02673739}
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  • https://www.mathnet.ru/eng/znsl/v247/p166
  • 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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