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

Jeudi 24 mai 2018 10:33-11:33 - Federico Stra - LMO

Résumé : I present the construction of 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 tool provides a way to prove more directly a result by Lee and Naor and to generalize the classical extension theorem by Whitney to Banach spaces.

Lieu : IMO, 3L8

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