Sharp distortion growth for bilipschitz extension of planar maps
Complex Variables
2012-05-01 v2 Metric Geometry
Abstract
This note addresses the quantitative aspect of the bilipschitz extension problem. The main result states that any bilipschitz embedding of into can be extended to a bilipschitz self-map of with a linear bound on the distortion.
Cite
@article{arxiv.1203.3443,
title = {Sharp distortion growth for bilipschitz extension of planar maps},
author = {Leonid V. Kovalev},
journal= {arXiv preprint arXiv:1203.3443},
year = {2012}
}
Comments
9 pages. Slightly expanded introduction, added references