This is the old version of the CRM site. Please use the new site on the page crmdegiorgi.sns.it

ERC Workshop on Geometric Measure Theory, Analysis in Metric Spaces and Real Analysis

Differentiability of Lipschitz functions w.r.t. Radon measures.

speaker: Andrea Marchese (MPI MIS Leipzig (to date))

abstract: In this talk I will show an adapted version of Rademacher theorem (Lipschitz functions are Lebesgue a.e. differentiable) when the Lebesgue measure is replaced by a generical Radon measure. I will explain how to associate to any Radon measure \(\mu\) a bundle of vector spaces such that every Lipschitz function is \(\mu\)-almost everywhere differentiable along the vector space given by the bundle. I will also show that this bundle is optimal, exhibiting a Lipschitz function which is \(\mu\)-a.e. non differentiable along any direction which does not lie in the bundle. This is joint work with Giovanni Alberti.

timetable:
Tue 8 Oct, 16:40 - 17:10, Aula Dini
<< Go back