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.
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manifolds,and then review the extension of quasi-plurisubharmonic functions on compact complex manifolds,including some unpublished new results of the authors Wang and Zhou.
作者
宁家福
汪志威
周向宇
Ning Jiafu;Wang Zhiwei;Zhou Xiangyu(School of Mathematics and Statistics,HNPLAMA,Central South University,Changsha 410083,China;Laboratory of Mathematics and Complex Systems(Ministry of Education),School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China;Institute of Mathematics,Academy of Mathematics and Systems Sciences and Hua LooKeng Key Laboratory of Mathematics,Chinese Academy of Sciences,Beijing 100190,China;School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China)
出处
《数学理论与应用》
2021年第3期1-12,共12页
Mathematical Theory and Applications
基金
partially supported by the NSFC grant (12071485)
partially supported by the Beijing Natural Science Foundation (1202012,Z190003)
the NSFC grant (11701031,12071035)
partially supported by the NSFC grant (11688101)。
关键词
斯坦流形
多次调和函数
凯勒流形
延拓
Stein manifold
Plurisubharmonic function
K?hler manifold
Extension
