Brue, EliaDi Marino, SimoneStra, Federico2021-03-262021-03-262021-03-262021-02-1510.1016/j.jfa.2020.108868https://infoscience.epfl.ch/handle/20.500.14299/176521WOS:000598971300008We 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.Mathematicslipschitz-extensionrandom-projectionwhitney-extensionextending lipschitzmapsLinear Lipschitz and C-1 extension operators through random projectiontext::journal::journal article::research article