边界点、最小 L2 积分和凹性特性 III-黎曼曲面上的线性和开黎曼曲面上的纤度

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-05-09 DOI:10.1007/s10114-024-2344-6

Qi An Guan, Zhi Tong Mi, Zheng Yuan

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引用次数: 0

摘要

在本文中，我们考虑了与边界点上的模块有关的多余弦函数子级集上的最小 L2 积分的修正版，并得到了修正版的凹性性质。作为应用，我们给出了在开黎曼曲面和开黎曼曲面上的纤维上退化为线性的凹性特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 L² 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.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.