# Linear Lipschitz and $C^1$ extension operators through random projections

created by dimarino on 23 Jan 2018
modified by bruè on 17 Nov 2020

[BibTeX]

Accepted Paper

Inserted: 23 jan 2018
Last Updated: 17 nov 2020

Journal: Journal of Functional Analysis
Year: 2018

ArXiv: 1801.07533v1 PDF

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.