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Eurasian Mathematical Journal, 2013, Volume 4, Number 1, Pages 65–75 (Mi emj115)  
On dimension-free integrability improvement for Sobolev embeddings

M. Krbeca, H.-J. Schmeisserb

a Institute of Mathematics, Academy of Sciences, Praha, Czech Republic
b Mathematisches Institut, Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität, Jena, Germany
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Abstract: We survey recent dimension-invariant embedding theorems for Sobolev spaces.
Keywords and phrases: Sobolev space, embedding theorem, uncertainty principle, best constants for embeddings, logarithmic Lebesgue space.
Received: 07.10.2011
Bibliographic databases:
Document Type: Article
MSC: Primary 46E35; Secondary 46E30
Language: English
Citation: M. Krbec, H.-J. Schmeisser, “On dimension-free integrability improvement for Sobolev embeddings”, Eurasian Math. J., 4:1 (2013), 65–75
Citation in format AMSBIB
\Bibitem{KrbSch13}
\by M.~Krbec, H.-J.~Schmeisser
\paper On dimension-free integrability improvement for Sobolev embeddings
\jour Eurasian Math. J.
\yr 2013
\vol 4
\issue 1
\pages 65--75
\mathnet{http://mi.mathnet.ru/emj115}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3118892}
\zmath{https://zbmath.org/?q=an:1286.46039}
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