Distortion in the Spherical Metric under Quasiconformal Mappings
Classical Analysis and ODEs
2007-05-23 v2
Abstract
This paper contains bounds for the distortion in the spherical metric, that is to say bounds for the constant of Holder continuity of mappings f : (\Rn,q) -> (\Rn, q) where q denotes the spherical metric. The mappings considered are K-quasiconformal (K >= 1) and satisfy some normalizations or restrictions. All bounds are explicit and asymptotically sharp as K -> 1.
Cite
@article{arxiv.math/0106045,
title = {Distortion in the Spherical Metric under Quasiconformal Mappings},
author = {Peter A. Hasto},
journal= {arXiv preprint arXiv:math/0106045},
year = {2007}
}
Comments
9 pages, 1 figure