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arXiv 2008.00837math.CVmath.MG
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Bergman kernels for Paley-Wiener spaces and Nazarov's proof of the Bourgain-Milman theorem

Bo Berndtsson

英文摘要:

We give a general inequality for Bergman kernels of Bergman spaces defined by convex weights in $\C^n$. 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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