AN OPTIMAL L-2 EXTENSION THEOREM ON WEAKLY PSEUDOCONVEX KAHLER MANIFOLDS | |
Zhou, Xiangyu1,2,3; Zhu, Langfeng1,4 | |
2018-09-01 | |
发表期刊 | JOURNAL OF DIFFERENTIAL GEOMETRY |
ISSN | 0022-040X |
卷号 | 110期号:1页码:135-186 |
摘要 | In this paper, we prove an L-2 extension theorem for holomorphic sections of holomorphic line bundles equipped with singular metrics on weakly pseudoconvex Kahler manifolds. Furthermore, in our L-2 estimate, optimal constants corresponding to variable denominators are obtained. As applications, we prove an L-q extension theorem with an optimal estimate on weakly pseudoconvex Kahler manifolds and the log-plurisubharmonicity of the fiberwise Bergman kernel in the Kahler case. |
关键词 | Optimal L-2 extension singular Hermitian metric plurisubharmonic function weakly pseudoconvex manifold Kahler manifold |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11431013] ; National Natural Science Foundation of China[11201347] ; National Natural Science Foundation of China[11271291] ; China Postdoctoral Science Foundation funded project[2012M511650] ; Fundamental Research Funds for the Central Universities |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000443948100004 |
出版者 | INT PRESS BOSTON, INC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/30934 |
专题 | 数学所 |
通讯作者 | Zhou, Xiangyu |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Lab Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Mat Sci, Beijing 100049, Peoples R China 4.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China |
推荐引用方式 GB/T 7714 | Zhou, Xiangyu,Zhu, Langfeng. AN OPTIMAL L-2 EXTENSION THEOREM ON WEAKLY PSEUDOCONVEX KAHLER MANIFOLDS[J]. JOURNAL OF DIFFERENTIAL GEOMETRY,2018,110(1):135-186. |
APA | Zhou, Xiangyu,&Zhu, Langfeng.(2018).AN OPTIMAL L-2 EXTENSION THEOREM ON WEAKLY PSEUDOCONVEX KAHLER MANIFOLDS.JOURNAL OF DIFFERENTIAL GEOMETRY,110(1),135-186. |
MLA | Zhou, Xiangyu,et al."AN OPTIMAL L-2 EXTENSION THEOREM ON WEAKLY PSEUDOCONVEX KAHLER MANIFOLDS".JOURNAL OF DIFFERENTIAL GEOMETRY 110.1(2018):135-186. |
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