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Problemy Analiza — Issues of Analysis, 2020, Volume 9(27), Issue 1, Pages 60–65
DOI: https://doi.org/10.15393/j3.art.2020.7190 (Mi pa288) 		 
Estimate of the maximum product of inner radii of non-overlapping domains

Iryna Denega

Institute of Mathematics of the National Academy of Sciences of Ukraine, Department of complex analysis and potential theory, 01024 Ukraine, Kyiv-4, 3, Tereschenkivska st.
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DOI: https://doi.org/10.15393/j3.art.2020.7190
Abstract: In this paper, the upper estimate for the maximum of the products of inner radii of mutually non-overlapping domains is obtained for any $n$-radial system of points on the complex plane at all possible values of some parameter $\gamma$. The conditions under which the structure of points is not important in the proved results are established.
Keywords: inner radius of domain, non-overlapping domains, the Green function, transfinite diameter, theorem on minimizing of the area, the Cauchy inequality.
Received: 22.10.2019
Accepted: 07.01.2020
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C75
Language: English
Citation: Iryna Denega, “Estimate of the maximum product of inner radii of non-overlapping domains”, Probl. Anal. Issues Anal., 9(27):1 (2020), 60–65
Citation in format AMSBIB
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\by Iryna~Denega
\paper Estimate of the maximum product of inner radii of non-overlapping domains
\jour Probl. Anal. Issues Anal.
\yr 2020
\vol 9(27)
\issue 1
\pages 60--65
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\crossref{https://doi.org/10.15393/j3.art.2020.7190}
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\elib{https://elibrary.ru/item.asp?id=43300516}
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