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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 383, Pages 63–76 (Mi znsl3872)  
This article is cited in 9 scientific papers (total in 9 papers)

Geometric versions of Schwarz lemma and symmetrization

V. N. Dubinin

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia
Full-text PDF (241 kB) Citations (9)
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Abstract: Connection between the geometric versions of Schwarz lemma and the known symmetrization principles for some classes of analytic functions in a disk and a circular ring are discussed. In particular, simple proofs based on classical approaches are presented for some resent results of other authors. Bibl. 22 titles.
Key words and phrases: regular function, Schwarz lemma, Steiner symmetrization.
Received: 25.08.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 178, Issue 2, Pages 150–157
DOI: https://doi.org/10.1007/s10958-011-0542-0
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, “Geometric versions of Schwarz lemma and symmetrization”, Analytical theory of numbers and theory of functions. Part 25, Zap. Nauchn. Sem. POMI, 383, POMI, St. Petersburg, 2010, 63–76; J. Math. Sci. (N. Y.), 178:2 (2011), 150–157
Citation in format AMSBIB
\Bibitem{Dub10}
\by V.~N.~Dubinin
\paper Geometric versions of Schwarz lemma and symmetrization
\inbook Analytical theory of numbers and theory of functions. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 383
\pages 63--76
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3872}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 178
\issue 2
\pages 150--157
\crossref{https://doi.org/10.1007/s10958-011-0542-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80053505555}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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