Weighted L-2 Approximation of Analytic Sections
文献类型:期刊论文
作者 | Li, Zhi1; Zhou, Xiangyu2,3 |
刊名 | JOURNAL OF GEOMETRIC ANALYSIS
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出版日期 | 2022-02-01 |
卷号 | 32期号:2页码:17 |
关键词 | Weighted approximation L-2-estimates for partial derivative-equation Bergman spaces Multiplier ideal sheaves |
ISSN号 | 1050-6926 |
DOI | 10.1007/s12220-021-00772-4 |
英文摘要 | In this paper, we obtain a global weighted L-2 approximation result for holomorphic sections in weighted Bergman spaces, generalizing the approximation theorems of Taylor, Fornaess, andWu. The main novelty here is a combination of the L-2 estimates with twisted Bochner-Kodaira technique, optimal L-2 extension technique and the solution of the strong openness conjecture on multiplier ideal sheaves. |
资助项目 | NSFC[11688101] ; NSFC[11431013] |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000739924600008 |
出版者 | SPRINGER |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59844] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhou, Xiangyu |
作者单位 | 1.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China 2.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China 3.Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Zhi,Zhou, Xiangyu. Weighted L-2 Approximation of Analytic Sections[J]. JOURNAL OF GEOMETRIC ANALYSIS,2022,32(2):17. |
APA | Li, Zhi,&Zhou, Xiangyu.(2022).Weighted L-2 Approximation of Analytic Sections.JOURNAL OF GEOMETRIC ANALYSIS,32(2),17. |
MLA | Li, Zhi,et al."Weighted L-2 Approximation of Analytic Sections".JOURNAL OF GEOMETRIC ANALYSIS 32.2(2022):17. |
入库方式: OAI收割
来源:数学与系统科学研究院
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