Nicolò De Ponti

collaborators

2 papers

math.SP2025

Cheng's eigenvalue comparison on metric measure spaces and applications

G. Bruno De Luca, Nicolò De Ponti, Andrea Mondino +1

Using the localization technique, we prove a sharp upper bound on the first Dirichlet eigenvalue of metric balls in essentially non-branching $CD^{⋆} (K, N)$ spaces. Thi…

math.MG2025

Global Lipschitz extension preserving the slope

Nicolò De Ponti, Jacopo Somaglia

We show that every real-valued Lipschitz function on a subset of a metric space can be extended to the whole space while preserving the slope and, up to a small error, the global L…