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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 282, Pages 244–255 (Mi znsl1516)  
This article is cited in 2 scientific papers (total in 2 papers)

About some class of holomorphic functions in the disk

F. A. Shamoyan, E. N. Shubabko

I. G. Petrovsky Bryansk State Pedagogical University
Full-text PDF (208 kB) Citations (2)
Abstract: The paper introduces new parametric representation of the class of holomorphic functions in the unit disk the Nevanlinna characteristic for which has power growth near the boundary of the disk. All the parameters of the representation in question are determined in terms of the values of the function. Moreever, the set of multipliers from the class in question to the classes of Hardy and Bergman and the disk-algebra is described completely.
Received: 10.04.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 120, Issue 5, Pages 1784–1790
DOI: https://doi.org/10.1023/B:JOTH.0000018875.84513.27
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: F. A. Shamoyan, E. N. Shubabko, “About some class of holomorphic functions in the disk”, Investigations on linear operators and function theory. Part 29, Zap. Nauchn. Sem. POMI, 282, POMI, St. Petersburg, 2001, 244–255; J. Math. Sci. (N. Y.), 120:5 (2004), 1784–1790
Citation in format AMSBIB
\Bibitem{ShaShu01}
\by F.~A.~Shamoyan, E.~N.~Shubabko
\paper About some class of holomorphic functions in the disk
\inbook Investigations on linear operators and function theory. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 282
\pages 244--255
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1516}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1874891}
\zmath{https://zbmath.org/?q=an:1069.30055}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 120
\issue 5
\pages 1784--1790
\crossref{https://doi.org/10.1023/B:JOTH.0000018875.84513.27}
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  • https://www.mathnet.ru/eng/znsl/v282/p244
    • 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
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