Special Session 16: 

A variational look at Kolmogorov-type operators

Giulio Tralli
University of Padova
Italy
Co-Author(s):    
Abstract:
We discuss Hardy-Littlewood-Sobolev inequalities and nonlocal isoperimetric inequalities adapted to hypoelliptic operators of Kolmogorov type. We focus on the role played by the non-symmetric semigroup and by the the growth for large scales of the volume of the intrinsic pseudoballs. The talk is based on a joint project with N. Garofalo.