Some extremal problems in the theory of nonoverlapping domains with free poles on rays

被引：0

作者：

Bakhtin A.K. ^{[1
]}

Targonskii A.L. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

来源：

Ukrainian Mathematical Journal | 2006年 / 58卷 / 12期

关键词：

Extremal Problem; Equality Sign; Logarithmic Capacity; Remote Point; Nonoverlapping Domain;

D O I：

10.1007/s11253-006-0179-1

中图分类号：

学科分类号：

摘要：

We obtain new results on the maximization of the product of powers of the interior radii of pairwise disjoint domains with respect to certain systems of points in the extended complex plane. © Springer Science+Business Media, Inc. 2006.

引用

页码：1950 / 1954

页数：4

共 6 条

[1]

Lavrent'ev M.A., On the theory of conformal mappings, Tr. Fiz.-Mat. Inst. Akad. Nauk SSSR, 5, pp. 159-245, (1934)

[2]

Dubinin V.N., Symmetrization method in the geometric theory of functions of complex variables, Usp. Mat. Nauk, 49, 1 295, pp. 3-76, (1994)

[3]

Dubinin V.N., Separating transformation of domains and problems of extremal decomposition, Zap. Nauch. Sem. Leningrad. Otdel. Mat. Inst. Akad. Nauk SSSR, 168, pp. 48-66, (1988)

[4]

Bakhtin A.K., Extremal problems of nonoverlapping domains with free poles on a circle, Dopov. Nats. Akad. Nauk Ukr, 8, pp. 7-15, (2004)

[5]

Bakhtin A.K., Extremal problems of nonoverlapping domains with free poles on a circle, Ukr. Mat. Zh, 58, 7, pp. 867-886, (2006)

[6]

Hayman W.K., Multivalent Functions, (1958)

← 1 →