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

Qi'an Guan; Zhitong Mi; Zheng Yuan

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

Complex Variables 2022-06-06 v2

Authors: Qi'an Guan , Zhitong Mi , Zheng Yuan

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.

Keywords

boundary points minimal l2 integrals plurisubharmonic functions concavity property open riemann surfaces linearity

Cite

@article{arxiv.2203.15188,
  title  = {Boundary points, minimal $L^2$ integrals and concavity property III -- linearity on Riemann surfaces},
  author = {Qi'an Guan and Zhitong Mi and Zheng Yuan},
  journal= {arXiv preprint arXiv:2203.15188},
  year   = {2022}
}

Comments

49 pages, all comments are welcome. arXiv admin note: substantial text overlap with arXiv:2203.07723

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