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

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.

This work was complete in Nov. 2012, Published on line in SCIENCE CHINA Mathematics (2014)

References in corpus (2)

• Some recent transcendental techniques in algebraic and complex geometry
• Some results related to group actions in several complex variables

Cited by in corpus (2)

• A sharp effectiveness result of Demailly's strong openness conjecture
• Concavity of minimal $L^2$ integrals related to multipler ideal sheaves