Published Paper

Inserted: 21 jul 2020
Last Updated: 20 jan 2022

Journal: Rend. Lincei Mat. Appl.
Year: 2020

Abstract:

The intent of this short note is to extend real valued Lipschitz functions on metric spaces, while locally preserving the asymptotic Lipschitz constant. We then apply this results to give a simple and direct proof of the fact that Sobolev spaces on metric measure spaces defined with a relaxation approach \`a la Cheeger are invariant under isomorphism class of mm-structures.