Hypercontractivity of Poisson Semigroups with Orthogonal Polynomial Eigenfunctions

Mahdi Hormozi, Jie-Xiang Zhu

For any $1<p<q<\infty$, we investigate fixed-time hypercontractive bounds from $L^p$ to $L^q$ of Poisson semigroups associated with the Ornstein--Uhlenbeck, Laguerre and Jaco…