Extremal Decomposition of the Complex Plane with Free Poles II

被引：0
|
作者：
Bakhtin A.K. [1 ]
Denega I.V. [1 ]
机构：
[1] Institute of Mathematics of the NAS of Ukraine, Kiev
来源：
Journal of Mathematical Sciences | 2020年 / 246卷 / 5期
关键词：
Cauchy inequality; Green’s function; Inner radius of a domain; mutually non-overlapping domains; quadratic differential; theorem on minimization of an area; transfinite diameter;
D O I：
10.1007/s10958-020-04766-5
中图分类号：
学科分类号：
摘要：
Problems on extremal decomposition of the complex plane with free poles located on an (n;m)-ray system of points are studied. A method that allowed us to obtain new upper bounds for the maximum of the products of the inner radii of mutually non-overlapping domains is proposed. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：602 / 616
页数：14
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