Proceedings of the American Mathematical Society

The Distortion Theorem for Quasiconformal Mappings, Schottky's Theorem and Holomorphic Motions

Author(s): G. J. Martin
Journal: Proc. Amer. Math. Soc. 125 (1997), 1095-1103.
MSC (1991): Primary 30C60
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Abstract: We prove the equivalence of Schottky's theorem and the distortion theorem for planar quasiconformal mappings via the theory of holomorphic motions. The ideas lead to new methods in the study of distortion theorems for quasiconformal mappings and a new proof of Teichmüller's distortion theorem.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 30C60

G. J. Martin
Affiliation: Department of Mathematics, Australian National University, Canberra, ACT, Australia - Department of Mathematics, University of Auckland, Auckland, New Zealand
Email: martin@math.auckland.ac.nz

DOI: 10.1090/S0002-9939-97-03677-0
PII: S 0002-9939(97)03677-0
Received by editor(s): March 20, 1995
Received by editor(s) in revised form: September 28, 1995
Additional Notes: This research was supported in part by grants from the New Zealand Foundation for Research, Science and Technology and the Australian Research Council.
Communicated by: Albert Baernstein II
Copyright of article: Copyright 1997, American Mathematical Society

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