On the Ohsawa-Takegoshi L-2 extension theorem and the twisted Bochner-Kodaira identity
文献类型:期刊论文
作者 | Guan, Qi'an1; Zhou, Xiangyu2,3![]() |
刊名 | COMPTES RENDUS MATHEMATIQUE
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出版日期 | 2011-07-01 |
卷号 | 349期号:13-14页码:797-800 |
ISSN号 | 1631-073X |
DOI | 10.1016/j.crma.2011.06.001 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000294395600019 |
出版者 | ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11839] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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