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arXiv · 1203.3443

Sharp distortion growth for bilipschitz extension of planar maps

Leonid V. Kovalev
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Abstract

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.

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Leonid V. Kovalev. 2012-03-15. Sharp distortion growth for bilipschitz extension of planar maps. https://doi.org/10.1090/s1088-4173-2012-00243-3

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