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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 237, Pages 148–160 (Mi znsl434)  
This article is cited in 6 scientific papers (total in 6 papers)

Radial projection and the Poincaré metric

A. Yu. Solynin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (217 kB) Citations (6)
Abstract: Some estimates for the Poincaré metric of a planar domain are obtained in terms of the radial projection of the complement of the domain onto the unit circle. These estimates allow us, in particular, to strengthen the well-known Lavrent'ev theorem on the product of conformal radii of nonoverlapping domains. The proofs use the polarization transformation.
Received: 12.06.1997
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 95, Issue 3, Pages 2267–2275
DOI: https://doi.org/10.1007/BF02172471
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: A. Yu. Solynin, “Radial projection and the Poincaré metric”, Analytical theory of numbers and theory of functions. Part 14, Zap. Nauchn. Sem. POMI, 237, POMI, St. Petersburg, 1997, 148–160; J. Math. Sci. (New York), 95:3 (1999), 2267–2275
Citation in format AMSBIB
\Bibitem{Sol97}
\by A.~Yu.~Solynin
\paper Radial projection and the Poincar\'e metric
\inbook Analytical theory of numbers and theory of functions. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 237
\pages 148--160
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl434}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691289}
\zmath{https://zbmath.org/?q=an:0936.30033}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 95
\issue 3
\pages 2267--2275
\crossref{https://doi.org/10.1007/BF02172471}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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