Document Type
Article
Date
12-20-2006
Embargo Period
11-15-2011
Disciplines
Mathematics
Description/Abstract
We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel against doubling measures with suitable decay. The differentials of mappings that arise in this way satisfy an isotropic form of the doubling condition. We prove that this isotropic doubling condition is satisfied by the distance functions of certain fractal sets. Finally, we construct an isotropic doubling measure that is not absolutely continuous with respect to the Lebesgue measure.
Recommended Citation
Kovalev, Leonid V.; Maldonado, Diego; and Wu, Jang-Mei, "Doubling Measures, Monotonicity, and Quasiconformality" (2006). Mathematics Faculty Scholarship. Paper 48.
http://surface.syr.edu/mat/48
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/math/0611110