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Extremal partitions and distortion under the Montel bounded univalent maps
Published online by Cambridge University Press: 09 April 2009
Abstract
Extremal 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.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 73 , Issue 3 , December 2002 , pp. 419 - 432
- Copyright
- Copyright © Australian Mathematical Society 2002