Harnack inequality and Liouville-type theorems for Ornstein-Uhlenbeck and Kolmogorov operators

Alessia E. Kogoj, Ermanno Lanconelli, Enrico Priola

We prove, with a purely analytic technique, a one-side Liouville theorem for a class of Ornstein--Uhlenbeck operators ${\mathcal{L}}_0$ in ${\mathbb{R}}^N$, as a consequence of a Liou…