Document Type
Article
Date
4-27-2009
Disciplines
Mathematics
Description/Abstract
We extend monotone quasiconformal mappings from dimension n to n+1 while preserving both monotonicity and quasiconformality. The extension is given explicitly by an integral operator. In the case n=1 it yields a refinement of the Beurling-Ahlfors extension.
Recommended Citation
Kovalev, Leonid V. and Onninen, Jani, "An N-Dimensional Version of the Beurling-Ahlfors Extension" (2009). Mathematics - All Scholarship. 49.
https://surface.syr.edu/mat/49
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/0904.3090