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arXiv · 1412.0054

Optimal constant in an L^2 extension problem and a proof of a conjecture of Ohsawa

Qi'an Guan·Xiangyu Zhou
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Abstract

In this paper, we solve the optimal constant problem in the setting of Ohsawa's generalized $L^{2}$ extension theorem. As applications, we prove a conjecture of Ohsawa and the extended Suita conjecture, we also establish some relations between Bergman kernel and logarithmic capacity on compact and open Riemann surfaces.

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Qi'an Guan, Xiangyu Zhou. 2014-11-29. Optimal constant in an L^2 extension problem and a proof of a conjecture of Ohsawa. https://doi.org/10.1007/s11425-014-4946-4

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