Extremal partitions and distortion under the Montel bounded univalent maps-Reference-Cited by-同舟云学术

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Extremal partitions and distortion under the Montel bounded univalent maps

Published:2002-12 Issue:3 Volume:73 Page:419-432
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Vasil'ev Alexander

Abstract

AbstractExtremal partitions of domains into configurations of certain to pological form are studied. The extremal value of the weighted sum of reduced moduli of circular domains and digons is obtained. These results are applied to some problems about distortion under bounded conformal maps of the unit disk with two preassigned values.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference17 articles.

1. Extremal properties of quadratic differentials with strip domains in the structure of the trajectories;Kuz'mina;Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI),1986

2. Koebe sets for univalent functions with two preassigned values;Krzyż;Ann. Acad. Sd. Fenn. Ser. Al Math.,1971

3. On extremal partitioning problems;Emel'yanov;Zap. Nauchn. Sem. Leningrad. Otdel. Mat. inst. Steklov. (LOMI),1986

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