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

Published 23 Jan 2018 in math.FA and math.MG | (1801.07533v1)

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.

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