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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 217, Pages 172–217 (Mi znsl5967)  

This article is cited in 5 scientific papers (total in 5 papers)

Outer functions from the analytic О. V. Besov classes

N. A. Shirokov

Civil Aviation Academy, St. Petersburg
Abstract: The outer functions, in the sense of the Nevalinna factorization, belonging to the analytic O. V. Besov classes $AB^{r+\alpha}_{pq}$ are completely described for $1<p<\infty$, $1\le q\le\infty$, $\frac 1p<\alpha<1$, $r\ge0$. There are corollaries of $\Lambda^\frac\alpha2$-theorems type. Bibliography: 14 titles.
Received: 19.12.1993
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 85, Issue 2, Pages 1867–1897
DOI: https://doi.org/10.1007/BF02355296
Bibliographic databases:
Document Type: Article
UDC: 539.12
Language: Russian
Citation: N. A. Shirokov, “Outer functions from the analytic О. V. Besov classes”, Investigations on linear operators and function theory. Part 22, Zap. Nauchn. Sem. POMI, 217, POMI, St. Petersburg, 1994, 172–217; J. Math. Sci. (New York), 85:2 (1997), 1867–1897
Citation in format AMSBIB
\Bibitem{Shi94}
\by N.~A.~Shirokov
\paper Outer functions from the analytic О.\,V.~Besov classes
\inbook Investigations on linear operators and function theory. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 217
\pages 172--217
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5967}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1327522}
\zmath{https://zbmath.org/?q=an:0877.46032|0907.46030}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 85
\issue 2
\pages 1867--1897
\crossref{https://doi.org/10.1007/BF02355296}
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  • https://www.mathnet.ru/eng/znsl/v217/p172
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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