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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 284–295 (Mi semr324)  

This article is cited in 9 scientific papers (total in 9 papers)

On finitely Lipschitz space mappings

R. R. Salimov

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences, Donetsk
Full-text PDF (760 kB) Citations (9)
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Abstract: It is established that a ring $Q$-homeomorphism with respect to $p$-modulus in $\mathbb R^n$, $n\geqslant2$, is finitely Lipschitz if $n-1<p<n$ and if the mean integral value of $Q(x)$ over infinitesimal balls $B(x_0,\varepsilon)$ is finite everywhere.
Keywords: $Q$-homeomorphisms, $p$-modulus, $p$-capacity, finite Lipschitz.
Received May 23, 2011, published September 28, 2011
Document Type: Article
UDC: 517.5
MSC: 30C65, 30C75
Language: English
Citation: R. R. Salimov, “On finitely Lipschitz space mappings”, Sib. Èlektron. Mat. Izv., 8 (2011), 284–295
Citation in format AMSBIB
\Bibitem{Sal11}
\by R.~R.~Salimov
\paper On finitely Lipschitz space mappings
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 284--295
\mathnet{http://mi.mathnet.ru/semr324}
Linking options:
  • https://www.mathnet.ru/eng/semr324
  • https://www.mathnet.ru/eng/semr/v8/p284
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :111
    References:66
     
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