Geodesic
Estimate of the maximum product of inner radii of non-overlapping domains
Problemy analiza, Tome 9 (2020) no. 1, pp. 60-65

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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. 
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     author = {Iryna Denega},
     title = {Estimate of the maximum product of inner radii of non-overlapping domains},
     journal = {Problemy analiza},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2020_9_1_a4/}
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Iryna Denega. Estimate of the maximum product of inner radii of non-overlapping domains. Problemy analiza, Tome 9 (2020) no. 1, pp. 60-65. http://geodesic.mathdoc.fr/item/PA_2020_9_1_a4/