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 2 395-409Subject Categories (SSIF 2011)
Geometry
Probability Theory and Statistics
Mathematical Analysis
DOI
10.4310/PAMQ.2022.v18.n2.a2