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arXiv · 1812.07563

Comparison of the Bergman kernel and the Carath\'eodory--Eisenman volume

Nikolai Nikolov·Pascal J. Thomas
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Abstract

It is proved that for any domain in $\mathbb C^n$ the Caratheodory--Eisenman volume is comparable with the volume of the indicatrix of the Caratheodory metric up to small/large constants depending only on $n.$ Then the "multidimensional Suita conjecture" theorem of Blocki and Zwonek implies a comparable relationship between these volumes and the Bergman kernel.

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Nikolai Nikolov, Pascal J. Thomas. 2018-12-18. Comparison of the Bergman kernel and the Carath\'eodory--Eisenman volume. https://doi.org/10.1090/proc/14604

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