• DOI:10.1090/S1088-4173-2012-00243-3
Corpus ID: 11816918

Sharp distortion growth for bilipschitz extension of planar maps

@article{Kovalev2012SharpDG,
  title={Sharp distortion growth for bilipschitz extension of planar maps},
  author={L. Kovalev},
  journal={Conformal Geometry and Dynamics of The American Mathematical Society},
  year={2012},
  volume={16},
  pages={124-131}
}

L. Kovalev

Published 2012

Mathematics

Conformal Geometry and Dynamics of The American Mathematical Society

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