Sharp distortion growth for bilipschitz extension of planar maps

Research output: Contribution to journalArticle

4 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 languageEnglish (US)
Pages (from-to)124-131
Number of pages8
JournalConformal Geometry and Dynamics
Volume16
Issue number7
DOIs
StatePublished - Apr 18 2012

Keywords

  • Bilipschitz extension
  • Conformal map

ASJC Scopus subject areas

  • Geometry and Topology

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