Extremal decomposition of multidimensional complex space for five domains

• Published in: Український математичний вісник
• Date: 2018
• Main Authors: Zabolotni, i Y., Denega, I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169414
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Extremal decomposition of multidimensional complex space for five domains / Y. Zabolotnii, I. Denega // Український математичний вісник. — 2018. — Т. 15, № 3. — С. 431-441. — Бібліогр.: 21 назв. — англ.

The paper is devoted to one open extremal problem in the geometric function theory of complex variables associated with estimates of a functional defined on the systems of non-overlapping domains. We consider the problem of the maximum of a product of inner radii of n non-overlapping domains contain...