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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 440, Pages 123–137 (Mi znsl6217)  
This article is cited in 1 scientific paper (total in 1 paper)

On estimate of the norm of the holomorphic component of a meromorphic function in finitely connected domains

S. Kalmykovabc, B. Nagyd

a Bolyai Institute, University of Szeged, Aradi v. tere 1, Szeged, 6720, Hungary
b Far Eastern Federal University, 8 Sukhanova Street, Vladivostok, 690950, Russia
c Institute of Applied Mathematics, FEBRAS, 7 Radio Street, Vladivostok, 690041, Russia
d MTA-SZTE Analysis and Stochastics Research Group, Bolyai Institute, University of Szeged, Aradi v. tere 1, Szeged, 6720, Hungary
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Abstract: In this paper we extend Gonchar–Grigorjan type estimate of the norm of holomorphic part of meromorphic functions in finitely connected Jordan domains with $C^2$ smooth boundary when the poles are in a compact set. A uniform estimate for Cauchy type integral is also given.
Key words and phrases: meromorphic functions, Green's function, conformal mappings.
Received: 03.06.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 217, Issue 1, Pages 81–90
DOI: https://doi.org/10.1007/s10958-016-2957-0
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
Citation: S. Kalmykov, B. Nagy, “On estimate of the norm of the holomorphic component of a meromorphic function in finitely connected domains”, Analytical theory of numbers and theory of functions. Part 30, Zap. Nauchn. Sem. POMI, 440, POMI, St. Petersburg, 2015, 123–137; J. Math. Sci. (N. Y.), 217:1 (2016), 81–90
Citation in format AMSBIB
\Bibitem{KalNag15}
\by S.~Kalmykov, B.~Nagy
\paper On estimate of the norm of the holomorphic component of a~meromorphic function in finitely connected domains
\inbook Analytical theory of numbers and theory of functions. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 440
\pages 123--137
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6217}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3504463}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 217
\issue 1
\pages 81--90
\crossref{https://doi.org/10.1007/s10958-016-2957-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84978096872}
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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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