Suita conjecture and the Ohsawa-Takegoshi extension theorem

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Abstract

We prove a conjecture of N. Suita which says that for any bounded domain D in ℂ one has cD2 ≤ π KD, where c D(z) is the logarithmic capacity of ℂ{set minus}D with respect to z∈D and K D the Bergman kernel on the diagonal. We also obtain optimal constant in the Ohsawa-Takegoshi extension theorem. © 2012 The Author(s).

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APA

Bocki, Z. (2013). Suita conjecture and the Ohsawa-Takegoshi extension theorem. Inventiones Mathematicae, 193(1), 149–158. https://doi.org/10.1007/s00222-012-0423-2

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