Ornstein-Uhlenbeck semigroup maximal operator on weighted $L^p$ space

Christoph Kriegler, Jérémie Moukambi

Let $(\mathcal{H}\_t{)}_{t\ge 0}$ denote the standard Ornstein-Uhlenbeck semigroup over ambient space ${\mathbb{R}}^d$ equipped with Gaussian measure $d\gamma (x)=e^{-|x{|}^2}dx$. Further…