Sharp distortion growth for bilipschitz extension of planar maps

Details Sharp distortion growth for bilipschitz extension of planar maps Sharp distortion growth for bilipschitz extension of planar maps

2012-03-15

arxiv.org/abs/1203.3443v2

Mathematics

Complex Variables

9 pages. Slightly expanded introduction, added references

Scientific paper

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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