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.