Boundary points,minimal L2 integrals and concavity property Ⅱ:Weakly pseudoconvex K?hler manifolds

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外文摘要：In this paper,we consider minimal L2 integrals on the sublevel sets of plurisubharmonic functions on weakly pseudoconvex Kähler manifolds with Lebesgue measurable gain related to modules at boundary points of the sublevel sets,and establish a concavity property of the minimal L2 integrals.As applications,we present a necessary condition for the concavity degenerating to linearity,a concavity property related to modules at inner points of the sublevel sets,an optimal support function related to modules,a strong openness property of modules and a twisted version,and an effectiveness result of the strong openness property of modules.

外文关键词：

minimal L2 integralsplurisubharmonic functionsboundary pointsweakly pseudoconvex Kähler manifold

作者：

Qi'an Guan、Zhitong Mi、Zheng Yuan

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作者单位：

School of Mathematical Sciences,Peking University,Beijing 100871,China

School of Mathematics and Statistics,Beijing Jiaotong University,Beijing 100044,China

Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China

基金：

National Key R&D Program of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaTalent Fund of Beijing Jiaotong UniversityChina Postdoctoral Science FoundationChina Postdoctoral Science Foundation

项目编号：

2021YFA1003100118251011152210111431013BX202304022023M743719

出版年：

2024

DOI：

10.1007/s11425-022-2257-3

中国科学:数学(英文版)

中国科学院

中国科学:数学(英文版)

CSTPCD

影响因子：0.36

ISSN：1674-7283

年,卷(期)：2024.67(7)