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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 107, Pages 178–188 (Mi znsl3423)  
This article is cited in 1 scientific paper (total in 1 paper)

Zero sets for functions from $\Lambda_\omega$

N. A. Shirokov
Full-text PDF (398 kB) Citations (1)
Abstract: The following result is proved:
THEOREM: {\it Let $S$ be an inner function, $\operatorname{spec}S\subset E$, $E\subset\operatorname{clos}\mathbb D$. Suppose $E$ satisfies
$$ \sum_{\alpha\in\mathbb D\cap E}(1-|\alpha|)<\infty,\quad\int_{\partial\mathbb D}\log\omega(\operatorname{dist}(z,E))|dz|>-\infty, $$
$\omega$ being a continuity modulus. Then there exists a function $\Lambda_\omega$ such that $f^{-1}(0)\in E$ и $f|_S\in\Lambda_\omega$}.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 3, Pages 408–414
DOI: https://doi.org/10.1007/BF01839613
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. A. Shirokov, “Zero sets for functions from $\Lambda_\omega$”, Investigations on linear operators and function theory. Part X, Zap. Nauchn. Sem. LOMI, 107, "Nauka", Leningrad. Otdel., Leningrad, 1982, 178–188; J. Soviet Math., 36:3 (1987), 408–414
Citation in format AMSBIB
\Bibitem{Shi82}
\by N.~A.~Shirokov
\paper Zero sets for functions from $\Lambda_\omega$
\inbook Investigations on linear operators and function theory. Part~X
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 107
\pages 178--188
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3423}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=676157}
\zmath{https://zbmath.org/?q=an:0512.30006|0608.30010}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 3
\pages 408--414
\crossref{https://doi.org/10.1007/BF01839613}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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