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

Author

Bo Berndtsson

Chalmers, Mathematical Sciences, Algebra and geometry

University of Gothenburg

Pure and Applied Mathematics Quarterly

1558-8599 (ISSN) 1558-8602 (eISSN)

Vol. 18 2 395-409

Subject Categories

Geometry

Probability Theory and Statistics

Mathematical Analysis

DOI

10.4310/PAMQ.2022.v18.n2.a2

More information

Latest update

6/10/2022