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An approximation condition
and extremal quasiconformal extensions

Author: Edgar Reich
Journal: Proc. Amer. Math. Soc. 125 (1997), 1479-1481
MSC (1991): Primary 30C62
MathSciNet review: 1389534
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Abstract: The possibility that the extremal dilatation of quasiconformal extensions from the circle is determined by quadrilaterals with vertices on the circle is related to an approximation question for holomorphic functions. This allows an alternative demonstration of a result of Anderson and Hinkkanen.

References [Enhancements On Off] (What's this?)

  • 1. J. M. Anderson and A. Hinkkanen, Quadrilaterals and extremal quasiconformal extensions, Comment. Math. Helv. 70 (1995), 455-474. MR 96g:30042
  • 2. Edgar Reich and Kurt Strebel, Extremal quasiconformal mappings with given boundary values, Contributions to Analysis: A Collection of Papers Dedicated to Lipman Bers, Academic Press, New York, 1974, pp. 375-391. MR 50:13511
  • 3. Kurt Strebel, Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises II, Comment. Math. Helv. 39 (1964), 77-89. MR 31:346

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Additional Information

Edgar Reich
Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455-0488

Received by editor(s): November 27, 1995
Communicated by: Albert Baernstein II
Article copyright: © Copyright 1997 American Mathematical Society

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