Concavity property of minimal L² integrals with Lebesgue measurable gain III: open Riemann surfaces

2022/11/02 by Guan, Qi'an, Yuan, Zheng
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.04951

Abstract

In this article, we present a characterization of the concavity property of minimal L² integrals degenerating to linearity in the case of finite points on open Riemann surfaces. As an application, we give a characterization of the holding of equality in optimal jets L² extension problem from analytic subsets to open Riemann surfaces, which is a weighted jets version of Suita conjecture for analytic subsets.

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