Smoothing Properties of Fractional Ornstein-Uhlenbeck Semigroups and Null-Controllability

Paul Alphonse, Joackim Bernier

We study fractional hypoelliptic Ornstein-Uhlenbeck operators acting on $L^2({\mathbb{R}}^n)$ satisfying the Kalman rank condition. We prove that the semigroups generated by these op…