J. Aust. Math. Soc.
73 (2002), 419-431
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Extremal partitions and distortion under the Montel bounded univalent maps
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Alexander Vasil'ev
Departamento de Matemática
Universidad Técnica Federico Santa Mar\'\i a
Casilla 110-V
Valparaíso
Chile
avassili@mat.utfsm.cl
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Abstract
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Extremal partitions of domains into
configurations of certain topological 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.
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