Sharp distortion growth for bilipschitz extension of planar maps-Reference-Cited by-同舟云学术

Sharp distortion growth for bilipschitz extension of planar maps

Published:2012-04-18 Issue:7 Volume:16 Page:124-131
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

Kovalev Leonid

Abstract

This note addresses the quantitative aspect of the bilipschitz extension problem. The main result states that any bilipschitz embedding of R \mathbb R into R 2 \mathbb R^2 can be extended to a bilipschitz self-map of R 2 \mathbb R^2 with a linear bound on the distortion.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

http://www.ams.org/ecgd/2012-16-07/S1088-4173-2012-00243-3/S1088-4173-2012-00243-3.pdf

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