Linear Lipschitz and $C^1$ extension operators through random projection
Functional Analysis
2018-01-24 v1 Metric Geometry
Abstract
We construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and functions. This way we prove more directly a result by Lee and Naor and we generalize the extension theorem by Whitney to Banach spaces.
Cite
@article{arxiv.1801.07533,
title = {Linear Lipschitz and $C^1$ extension operators through random projection},
author = {Elia Bruè and Simone Di Marino and Federico Stra},
journal= {arXiv preprint arXiv:1801.07533},
year = {2018}
}
Comments
18 pages