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An approximation condition and extremal quasiconformal extensions
Author(s):
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:
- 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
Email:
reich@math.umn.edu
DOI:
10.1090/S0002-9939-97-03863-X
PII:
S 0002-9939(97)03863-X
Received by editor(s):
November 27, 1995
Communicated by:
Albert Baernstein II
Copyright of article:
Copyright
1997,
American Mathematical Society
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