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Proceedings of the American Mathematical Society

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Holomorphic motions and quasicircles


Author: Gaven J. Martin
Journal: Proc. Amer. Math. Soc. 141 (2013), 3911-3918
MSC (2000): Primary 30C62, 37F30, 30C75
DOI: https://doi.org/10.1090/S0002-9939-2013-11684-9
Published electronically: July 23, 2013
MathSciNet review: 3091780
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Abstract: We give a new application of the theory of holomorphic motions to the study of the distortion of holomorphic maps of disks and annuli establishing sharp distortion theorems.


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Additional Information

Gaven J. Martin
Affiliation: Institute for Advanced Study, Massey University, Auckland, New Zealand
Email: g.j.martin@massey.ac.nz

DOI: https://doi.org/10.1090/S0002-9939-2013-11684-9
Received by editor(s): September 27, 2011
Received by editor(s) in revised form: January 23, 2012
Published electronically: July 23, 2013
Additional Notes: This research was supported by the Marsden Fund. The author thanks Aalto University and the University of Helsinki, where this research was initiated
Communicated by: Mario Bonk
Article copyright: © Copyright 2013 American Mathematical Society

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