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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 126, Pages 35–46 (Mi znsl4190)  
Some remarks on free interpolation by bounded and slowly growing analytic functions

S. A. Vinogradov
Full-text PDF (594 kB)
Abstract: A new bounded linear operator solving the problem of free interpolation in $H^\infty$ is constructed. This operator is a modification of Jones formula. Its main advantage is the applicability to interpolation in various subclasses of $H^\infty$. A theorem connecting Hermite interpolation with Lagrange interpolation is proved.
Bibliographic databases:
Document Type: Article
UDC: 517.948:513.8+519.4
Language: Russian
Citation: S. A. Vinogradov, “Some remarks on free interpolation by bounded and slowly growing analytic functions”, Investigations on linear operators and function theory. Part XII, Zap. Nauchn. Sem. LOMI, 126, "Nauka", Leningrad. Otdel., Leningrad, 1983, 35–46
Citation in format AMSBIB
\Bibitem{Vin83}
\by S.~A.~Vinogradov
\paper Some remarks on free interpolation by bounded and slowly growing analytic functions
\inbook Investigations on linear operators and function theory. Part~XII
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 126
\pages 35--46
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4190}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=697422}
\zmath{https://zbmath.org/?q=an:0515.30025}
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  • https://www.mathnet.ru/eng/znsl/v126/p35
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