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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 126, Pages 77–87 (Mi znsl4195)  

This article is cited in 2 scientific papers (total in 2 papers)

Free interpolation by functions with $H^1$ derivative

E. M. Dyn'kin
Full-text PDF (509 kB) Citations (2)
Abstract: Free interpolation sets for the class $H^1_1$ of functions with $H^1$ derivative are described. Traces of $H^1_1$ functions on the interpolation set are characterized in inner terms. This characterization is of Besov type. It includes a special homogeneous measure on a given set; the existence of such a measure is also proved.
Bibliographic databases:
Document Type: Article
UDC: 517.948
Language: Russian
Citation: E. M. Dyn'kin, “Free interpolation by functions with $H^1$ derivative”, Investigations on linear operators and function theory. Part XII, Zap. Nauchn. Sem. LOMI, 126, "Nauka", Leningrad. Otdel., Leningrad, 1983, 77–87
Citation in format AMSBIB
\Bibitem{Dyn83}
\by E.~M.~Dyn'kin
\paper Free interpolation by functions with~$H^1$ derivative
\inbook Investigations on linear operators and function theory. Part~XII
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 126
\pages 77--87
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4195}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=697427}
\zmath{https://zbmath.org/?q=an:0508.41004}
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  • https://www.mathnet.ru/eng/znsl4195
  • https://www.mathnet.ru/eng/znsl/v126/p77
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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