Sharp growth of the Ornstein-Uhlenbeck operator on Gaussian tail spaces

Alexandros Eskenazis, Paata Ivanisvili

Let $X$ be a standard Gaussian random variable. For any $p\in (1,\infty )$, we prove the existence of a universal constant $C_p>0$ such that the inequality $$(\mathbb{E} |h'(X)|…