On the Ohsawa-Takegoshi L-2 extension theorem and the twisted Bochner-Kodaira identity

doi:10.1016/j.crma.2011.06.001

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	On the Ohsawa-Takegoshi L-2 extension theorem and the twisted Bochner-Kodaira identity
	Guan, Qi'an 1; Zhou, Xiangyu2,3 ; Zhu, Langfeng 1
	2011-07-01
发表期刊	COMPTES RENDUS MATHEMATIQUE
ISSN	1631-073X
卷号	349 期号:13-14 页码:797-800
摘要	In this Note, we improve the estimate in Ohsawa's generalization of the Ohsawa-Takegoshi L-2 extension theorem for holomorphic functions by finding a smaller constant, and apply the result to the Suita conjecture. We also present a remark allowing to generalize the Ohsawa-Takegoshi extension theorem to the case of partial derivative-closed smooth (n - 1, q)-forms. Finally, we prove that the twist factor in the twisted Bochner-Kodaira identity can be a non-smooth plurisuperharmonic function. (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
DOI	10.1016/j.crma.2011.06.001
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000294395600019
出版者	ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11840
专题	数学所
通讯作者	Guan, Qi'an
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Guan, Qi'an,Zhou, Xiangyu,Zhu, Langfeng. On the Ohsawa-Takegoshi L-2 extension theorem and the twisted Bochner-Kodaira identity[J]. COMPTES RENDUS MATHEMATIQUE,2011,349(13-14):797-800.
APA	Guan, Qi'an,Zhou, Xiangyu,&Zhu, Langfeng.(2011).On the Ohsawa-Takegoshi L-2 extension theorem and the twisted Bochner-Kodaira identity.COMPTES RENDUS MATHEMATIQUE,349(13-14),797-800.
MLA	Guan, Qi'an,et al."On the Ohsawa-Takegoshi L-2 extension theorem and the twisted Bochner-Kodaira identity".COMPTES RENDUS MATHEMATIQUE 349.13-14(2011):797-800.