Published Paper

Inserted: 23 jan 2018
Last Updated: 25 dec 2022

Journal: Journal of Functional Analysis
Year: 2018

Abstract:

We construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and $C^1$ functions. This way we prove more directly a result by Lee and Naor and we generalize the $C^1$ extension theorem by Whitney to Banach spaces.

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