Calculus of Variations and Geometric Measure Theory
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E. Bruè - S. Di Marino - F. Stra

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

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


Accepted Paper

Inserted: 23 jan 2018
Last Updated: 17 nov 2020

Journal: Journal of Functional Analysis
Year: 2018

ArXiv: 1801.07533v1 PDF


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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