Poisson process and sharp constants in Lp and Schauder estimates for a class of degenerate Kolmogorov operators

L. Marino, S. Menozzi, E. Priola

We consider a possibly degenerate Kolmogorov-Ornstein-Uhlenbeck operator of the form L = Tr(BD 2) + Az, D , where A, B are N x N matrices, z $\in$ R N , N $\ge$ 1, which satisfy th…