Optimal angle of the holomorphic functional calculus for the classical Ornstein-Uhlenbeck operator on $L^p$

Sean Harris

We give a simple proof of the fact that the classical Ornstein-Uhlenbeck operator $L$ is R-sectorial of angle $arcsin|1-2/p|$ on $L^p({\mathbb{R}}^n,\exp (-|x{|}^2/2)dx)$ (for $1<p<…