Boundary Points, Minimal L2 Integrals and Concavity Property III—Linearity on Riemann Surfaces and Fibrations over Open Riemann Surfaces

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 lineari...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 40; no. 9; pp. 2091 - 2152
Main Authors Guan, Qi An, Mi, Zhi Tong, Yuan, Zheng
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2024
Springer Nature B.V
Subjects
Concavity
Harmonic functions
Integrals
Linearity
Mathematical analysis
Mathematics
Mathematics and Statistics
Riemann surfaces
32Q15
32F10
weakly pseudoconvex Kähler manifold
Minimal L
integrals
32W05
boundary points
plurisubharmonic functions
32U05
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Summary: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.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-024-2344-6