数学理论与应用 ›› 2021, Vol. 41 ›› Issue (3): 1-12.

• •    下一篇

拟多次调和函数的延拓

宁家福1，汪志威2,*，周向宇3,4   

  1. 1.中南大学数学与统计学院, 长沙, 410083; 2.北京师范大学数学科学学院, 北京, 100875; 3.中国科学院数学与系统科学研究院数学所, 北京, 100790; 4.中国科学院大学数学科学学院, 北京, 100049.
  • 出版日期:2021-09-30 发布日期:2021-10-28

Extension of Quasi-plurisubharmonic Functions

  1. 1. School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha 410083, China; 2. Laboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China; 3. Institute of Mathematics, Academy of Mathematics and Systems Sciences and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190, China; 4. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China.
  • Online:2021-09-30 Published:2021-10-28
  • Contact: Zhiwei Wang (1986-), Associate Professor, Research field: Sevaral Complex Variables and Complex Geometry; E-mail: zhiwei@bnu.edu.cn
  • Supported by:

    The first author is partially supported by the NSFC grant(12071485).

    The second author is partially supported by the Beijing Natural Science Foundation (1202012, Z190003) and the NSFC grant (11701031,12071035).

    The third author is partially supported by the NSFC grant (11688101).

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摘要： 本文是(拟)多次调和函数从子复流形延拓的综述.我们先阐述斯坦流形上多次调和函数的延拓, 再阐述紧复流形上拟多次调和函数的延拓, 其中包含本文作者首次发表的一些新结果.

关键词: 斯坦流形, 多次调和函数, 凯勒流形, 延拓

Abstract:

In this paper, we give a survey on the extension of (quasi-)plurisubharmonic functions from complex submanifolds.

We firstly review the extension of plurisubharmonic functions on Stein manifolds, and then review the extension of quasi-plurisubharmonic functions on compact complex manifolds, including some unpublished new results of the authors Wang and Zhou.

Key words: Stein manifold; , Plurisubharmonic function; , K?hler manifold; , Extension

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