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

Artikel i vetenskaplig tidskrift, 2022

We give a general inequality for Bergman kernels of Bergman spaces defined by certain convex weights in Cn. We also discuss how this can be used in Nazarov’s proof of the BourgainMilman theorem, as a substitute for Hörmander’s estimates for the ¯∂-equation.