Sharp distortion growth for bilipschitz extension of planar maps

Leonid Kovalev

Abstract: This note addresses the quantitative aspect of the bilipschitz extension problem. The main result states that any bilipschitz embedding of R into R2 can be extended to a bilipschitz self-map of R2 with a linear bound on the distortion.

Journal: Conform. Geom. Dyn. 16 (2012), 124–131.

URL: http://dx.doi.org/10.1090/S1088-4173-2012-00243-3