On quasiconformal maps with identity boundary values
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Abstract:
Quasiconformal homeomorphisms of the unit ball $B^n$ of ${\mathbb R}^n, n \ge 3,$ onto itself with identity boundary values are studied. A spatial analogue of Teichmüller’s theorem is proved.References
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Additional Information
- V. Manojlović
- Affiliation: Department of Mathematics, Faculty of Organizational Sciences, University of Belgrade, Jove Ilica 154, 11000 Belgrade, Serbia
- Email: vesnam@fon.rs
- M. Vuorinen
- Affiliation: Department of Mathematics, University of Turku, FIN-20014 Turku, Finland
- MR Author ID: 179630
- Email: vuorinen@utu.fi
- Received by editor(s): May 12, 2008
- Received by editor(s) in revised form: December 29, 2008
- Published electronically: December 7, 2010
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 363 (2011), 2467-2479
- MSC (2010): Primary 30C65; Secondary 30C62
- DOI: https://doi.org/10.1090/S0002-9947-2010-04994-3
- MathSciNet review: 2763723