Optimal constant in an L2 extension problem and a proof of a conjecture of Ohsawa

By Qi’an Guan, Xiangyu Zhou. 2014

64 citations recorded by the source corpus.

In this paper, we solve the optimal constant problem in the setting of Ohsawa’s generalized L2 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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f534c18ca44f62485abf99c145b6247457540810

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In Applied Mathematics

1. Qi’an Guan
2. Xiangyu Zhou
3. B. Berndtsson

In Geometry and Topology

1. Qi’an Guan
2. Xiangyu Zhou
3. B. Berndtsson
4. Junyan Cao

Citations in the corpus

• Effectiveness of Demailly’s strong openness conjecture and related problems (2014, methodology): “For the sake of completeness, we recall our proof in [17] (see also [19]) with slightly modifications.”