The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions-Reference-Cited by-同舟云学术

The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions

Published:1997 Issue:4 Volume:125 Page:1095-1103
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Martin G.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1997-125-04/S0002-9939-97-03677-0/S0002-9939-97-03677-0.pdf

Reference17 articles.

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3. G. Anderson and M.K. Vamanamurthy Distortion functions and quasiconformal mappings (to appear) N.Z.J. Math.

4. K. Astala and G.J. Martin, Holomorphic Motions University of Helsinki, Preprint.

5. Infinite number fields with Noether ideal theories;MacLane, Saunders;Amer. J. Math.,1939

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