Boundary points, minimal L² integrals and concavity property III -- linearity on Riemann surfaces

2022/03/29 by Guan, Qi'an, Mi, Zhitong, Yuan, Zheng
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2203.15188

Abstract

In this article, we consider a modified version of minimal L² integrals on sublevel sets of plurisubharmonic functions related to modules at boundary points, and obtain a concavity property of the modified version. As an application, we give a characterization for the concavity degenerating to linearity on open Riemann surfaces.

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