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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.
Аннотация:
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.
Ключевые слова:
inner radius of domain, non-overlapping domains, the Green function, transfinite diameter, theorem on minimizing of the area, the Cauchy inequality.
Поступила в редакцию: 22.10.2019 Принята в печать: 07.01.2020
Образец цитирования:
Iryna Denega, “Estimate of the maximum product of inner radii of non-overlapping domains”, Пробл. анал. Issues Anal., 9(27):1 (2020), 60–65
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa288 https://www.mathnet.ru/rus/pa/v27/i1/p60
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