J. Aust. Math. Soc.  73 (2002), 419-431
Extremal partitions and distortion under the Montel bounded univalent maps

Alexander Vasil'ev
  Departamento de Matemática
  Universidad Técnica Federico Santa Mar\'\i a
  Casilla 110-V

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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