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arXiv · 2203.15188

Boundary points, minimal $L^2$ integrals and concavity property III -- linearity on Riemann surfaces

Qi'an Guan·Zhitong Mi·Zheng Yuan
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Abstract

In this article, we consider a modified version of minimal $L^2$ 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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Qi'an Guan, Zhitong Mi, Zheng Yuan. 2022-03-29. Boundary points, minimal $L^2$ integrals and concavity property III -- linearity on Riemann surfaces. https://arxiv.org/abs/2203.15188

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