A Gaussian correlation inequality for plurisubharmonic functions
Functional Analysis
2022-07-11 v1 Probability
Abstract
A positive correlation inequality is established for circular-invariant plurisubharmonic functions, with respect to complex Gaussian measures. The main ingredients of the proofs are the Ornstein-Uhlenbeck semigroup, and another natural semigroup associated to the Gaussian -Laplacian.
Cite
@article{arxiv.2207.03847,
title = {A Gaussian correlation inequality for plurisubharmonic functions},
author = {Franck Barthe and Dario Cordero-Erausquin},
journal= {arXiv preprint arXiv:2207.03847},
year = {2022}
}