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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 107, Pages 7–26 (Mi znsl3412)  
The non-classical interpolation by analytic functions smooth up to the boundary

G. Ya. Bomash
Full-text PDF (894 kB)
Abstract: Let $E$ be a closed subset of the unit circle $\mathbb T$. Necessary and sufficient conditions are found for validity of inclusion $X|_E\subset Y|_E$, $X$ being a Carleman class on $\mathbb T$ and $Y$ being an analytic Carleman or Hölder class.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 3, Pages 301–314
DOI: https://doi.org/10.1007/BF01839602
Bibliographic databases:
UDC: 517.547
Language: Russian
Citation: G. Ya. Bomash, “The non-classical interpolation by analytic functions smooth up to the boundary”, Investigations on linear operators and function theory. Part X, Zap. Nauchn. Sem. LOMI, 107, "Nauka", Leningrad. Otdel., Leningrad, 1982, 7–26; J. Soviet Math., 36:3 (1987), 301–314
Citation in format AMSBIB
\Bibitem{Bom82}
\by G.~Ya.~Bomash
\paper The non-classical interpolation by analytic functions smooth up to the boundary
\inbook Investigations on linear operators and function theory. Part~X
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 107
\pages 7--26
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3412}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=676146}
\zmath{https://zbmath.org/?q=an:1097.30520}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 3
\pages 301--314
\crossref{https://doi.org/10.1007/BF01839602}
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