Sharp Gaussian divergence and Bernstein-Markov inequalities

Fan Chen, Sinho Chewi, Jianfeng Lu +1

We prove two dimension-free estimates in Gaussian space. The first is an optimal Meyer-type inequality for the Gaussian divergence: for $p\ge 2$, \[ \|δV\|_{L^p(γ_d)} \leq \sqrt p\…