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arXiv 2018-01-23 0 views

Linear Lipschitz and C¹ extension operators through random projection

Bruè, Elia · Di Marino, Simone · Stra, Federico

Original · EN

We construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and C¹ functions. This way we prove more directly a result by Lee and Naor and we generalize the C¹ extension theorem by Whitney to Banach spaces.

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