A Gaussian correlation inequality for plurisubharmonic functions
/ Authors
/ 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 $\partial$-Laplacian.
Journal: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
DOI: 10.1214/24-aihp1492