Sharp distortion growth for bilipschitz extension of planar maps

Leonid V. Kovalev

doi:10.1090/S1088-4173-2012-00243-3

Sharp distortion growth for bilipschitz extension of planar maps

Leonid V. Kovalev

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Pages (from-to)	124-131
Number of pages	8
Journal	Conformal Geometry and Dynamics
Volume	16
Issue number	7
DOIs	https://doi.org/10.1090/S1088-4173-2012-00243-3
State	Published - Apr 18 2012

Keywords

Bilipschitz extension
Conformal map

ASJC Scopus subject areas

Geometry and Topology

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10.1090/S1088-4173-2012-00243-3

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title = "Sharp distortion growth for bilipschitz extension of planar maps",

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.",

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KW - Conformal map

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Sharp distortion growth for bilipschitz extension of planar maps

Abstract

Keywords

ASJC Scopus subject areas

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