Optimal constant in an L^2 extension problem and a proof of a conjecture of Ohsawa
Complex Variables
2015-06-23 v1 Algebraic Geometry
Differential Geometry
Abstract
In this paper, we solve the optimal constant problem in the setting of Ohsawa's generalized 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.
Keywords
Cite
@article{arxiv.1412.0054,
title = {Optimal constant in an L^2 extension problem and a proof of a conjecture of Ohsawa},
author = {Qi'an Guan and Xiangyu Zhou},
journal= {arXiv preprint arXiv:1412.0054},
year = {2015}
}
Comments
This work was complete in Nov. 2012, Published on line in SCIENCE CHINA Mathematics (2014)