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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Holomorphic motions and quasicircles
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by Gaven J. Martin PDF
Proc. Amer. Math. Soc. 141 (2013), 3911-3918 Request permission

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.
References
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Additional Information
  • Gaven J. Martin
  • Affiliation: Institute for Advanced Study, Massey University, Auckland, New Zealand
  • MR Author ID: 120465
  • Email: g.j.martin@massey.ac.nz
  • 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
  • © Copyright 2013 American Mathematical Society
  • 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
  • MathSciNet review: 3091780