On plurisubharmonic Gaussian correlation of Barthe and Cordero-Erausquin

2023/04/24 by Huang, Yi C.
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2304.12970

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.

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