摘要
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 applications,we give characterizations for the concavity degenerating to linearity on open Riemann surfaces and on fibrations over open Riemann surfaces.
基金
supported by National Key R&D Program of China(Grant No.2021YFA1003100)
supported by NSFC(Grant Nos.11825101,11522101 and 11431013)
supported by the Talent Fund of Beijing Jiaotong University
supported by China Postdoctoral Science Foundation(Grant Nos.BX20230402 and 2023M743719)。