Bergman kernels for Paley-Wiener spaces and Nazarov's proof of the Bourgain-Milman theorem

2020/08/03 by Bo Berndtsson, Berndtsson, Bo
Mathematics · #Advanced Mathematical Physics Problems #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.2008.00837

openalex publication_date 2020/08/03 · openalex created_date 2022/10/30 · openalex updated_date 2026/07/28

Abstract

We give a general inequality for Bergman kernels of Bergman spaces defined by convex weights in \Cⁿ. We also discuss how this can be used in Nazarov's proof of the Bourgain-Milman theorem, as a substitute for Hörmander's estimates for the \dbar-equation.

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