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Algebra i Analiz, 2007, Volume 19, Issue 3, Pages 106–118 (Mi aa121)  

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

Research Papers

Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces

A. Brudnyia, Y. Brudnyib

a Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
b Department of Mathematics, Technion, Haifa, Israel
Full-text PDF (161 kB) Citations (9)
References:
Abstract: A relationship is established between the linear and nonlinear extension constants for Lipschitz functions defined on subsets of metric spaces. Proofs of several results announced in our earlier paper are presented.
Keywords: Lipschitz function, linear extension operator, Banach space.
Received: 20.04.2006
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 3, Pages 397–406
DOI: https://doi.org/10.1090/S1061-0022-08-01003-0
Bibliographic databases:
Document Type: Article
MSC: 54E40
Language: English
Citation: A. Brudnyi, Y. Brudnyi, “Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces”, Algebra i Analiz, 19:3 (2007), 106–118; St. Petersburg Math. J., 19:3 (2008), 397–406
Citation in format AMSBIB
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\paper Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces
\jour Algebra i Analiz
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\vol 19
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\pages 106--118
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\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 3
\pages 397--406
\crossref{https://doi.org/10.1090/S1061-0022-08-01003-0}
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Linking options:
  • https://www.mathnet.ru/eng/aa121
  • https://www.mathnet.ru/eng/aa/v19/i3/p106
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:421
    Full-text PDF :153
    References:73
    First page:10
     
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