An approximation condition and extremal quasiconformal extensions
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- by Edgar Reich PDF
- Proc. Amer. Math. Soc. 125 (1997), 1479-1481 Request permission
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
- J. M. Anderson and A. Hinkkanen, Quadrilaterals and extremal quasiconformal extensions, Comment. Math. Helv. 70 (1995), no. 3, 455–474. MR 1340104, DOI 10.1007/BF02566018
- 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 0361065
- Kurt Strebel, Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises. II, Comment. Math. Helv. 39 (1964), 77–89 (German). MR 176071, DOI 10.1007/BF02566945
Additional Information
- Edgar Reich
- Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455-0488
- Email: reich@math.umn.edu
- Received by editor(s): November 27, 1995
- Communicated by: Albert Baernstein II
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1479-1481
- MSC (1991): Primary 30C62
- DOI: https://doi.org/10.1090/S0002-9939-97-03863-X
- MathSciNet review: 1389534