AN OPTIMAL L-2 EXTENSION THEOREM ON WEAKLY PSEUDOCONVEX KAHLER MANIFOLDS

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	AN OPTIMAL L-2 EXTENSION THEOREM ON WEAKLY PSEUDOCONVEX KAHLER MANIFOLDS
	Zhou, Xiangyu1,2,3 ; Zhu, Langfeng 1,4
	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/30952
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.