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arXiv · 2207.03847

A Gaussian correlation inequality for plurisubharmonic functions

Franck Barthe·Dario Cordero-Erausquin
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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.

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Franck Barthe, Dario Cordero-Erausquin. 2022-07-08. A Gaussian correlation inequality for plurisubharmonic functions. https://arxiv.org/abs/2207.03847

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