Optimal constant problem in the $L^2$ extension theorem

Guan, Qiʼan; Zhou, Xiangyu

Comptes Rendus. Mathématique, Tome 350 (2012) no. 15-16, pp. 753-756.

Dans cette Note, nous résolvons le problème de la détermination de la constante optimale dans le théorème dʼextension $L^2$ avec poids négligeable sur les variétés de Stein. En application, nous prouvons la conjecture de Suita sur des surfaces de Riemann arbitraires.

In this Note, we solve the optimal constant problem in the $L^2$-extension theorem with negligible weight on Stein manifolds. As an application, we prove the Suita conjecture on arbitrary open Riemann surfaces.

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