Holomorphic motions and quasicircles
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- by Gaven J. Martin
- Proc. Amer. Math. Soc. 141 (2013), 3911-3918
- DOI: https://doi.org/10.1090/S0002-9939-2013-11684-9
- Published electronically: July 23, 2013
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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.References
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Bibliographic 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