On plurisubharmonic Gaussian correlation of Barthe and Cordero-Erausquin
Complex Variables
2023-04-26 v1 Functional Analysis
Abstract
We simplify the proof of a Gaussian correlation inequality for plurisubharmonic functions found by Barthe and Cordero-Erausquin. The new observation is a second-order integration-by-parts formula in the complex Gaussian setting.
Keywords
Cite
@article{arxiv.2304.12970,
title = {On plurisubharmonic Gaussian correlation of Barthe and Cordero-Erausquin},
author = {Yi C. Huang},
journal= {arXiv preprint arXiv:2304.12970},
year = {2023}
}