“A sharp condition for regularity of Sobolev functions in Carnot groups”
Martedì 10 Giugno 2025, ore 17:00 - Aula 2AB45 - Kilian Zambanini (PhD Student Università di Trento)
Abstract
In this talk I will present a result due to Stein concerning the sharp summability condition on the weak gradient of a Sobolev function to ensure continuity and almost everywhere differentiability. We will follow a recent approach by Kauhanen, Koskela and Malý, which also provides a possible generalization of the Fundamental Theorem of Calculus in high dimensions. We will then extend this result to the non-abelian setting of Carnot groups, discussing the main ideas behind this generalization.
Based on a joint work with A. Pinamonti and F. Serra Cassano.
