Sharp distortion growth for bilipschitz extension of planar maps
classification
🧮 math.CV
math.MG
keywords
bilipschitzmathbbdistortionextensionaddressesaspectboundembedding
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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.
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