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research article
Linear Lipschitz and C-1 extension operators through random projection
February 15, 2021
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 [5] and we generalize the C-l extension theorem by Whitney [8] to Banach spaces. (C) 2020 Elsevier Inc. All rights reserved.
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Type
research article
Web of Science ID
WOS:000598971300008
Authors
Publication date
2021-02-15
Publisher
Published in
Volume
280
Issue
4
Article Number
108868
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
March 26, 2021