The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions
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- by G. J. Martin PDF
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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.References
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Additional Information
- G. J. Martin
- Affiliation: Department of Mathematics, Australian National University, Canberra, ACT, Australia
- MR Author ID: 120465
- Email: martin@math.auckland.ac.nz
- 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 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1095-1103
- MSC (1991): Primary 30C60
- DOI: https://doi.org/10.1090/S0002-9939-97-03677-0
- MathSciNet review: 1363178