Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



The argument of an extremal dilatation

Authors: Marvin Ortel and Wayne Smith
Journal: Proc. Amer. Math. Soc. 104 (1988), 498-502
MSC: Primary 30C60; Secondary 30C75
MathSciNet review: 962819
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Abstract: Suppose $ \kappa$ is the complex dilatation of an extremal quasiconformal homeomorphism of the unit disk onto itself. Then, except in special cases, the width of the set of arguments of $ \kappa$ must strictly exceed $ \pi $.

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Article copyright: © Copyright 1988 American Mathematical Society