Weighted L-2 Approximation of Analytic Sections

doi:10.1007/s12220-021-00772-4

CSpace

	Weighted L-2 Approximation of Analytic Sections
	Li, Zhi 1; Zhou, Xiangyu 2,3
	2022-02-01
发表期刊	JOURNAL OF GEOMETRIC ANALYSIS
ISSN	1050-6926
卷号	32 期号:2 页码:17
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.
关键词	Weighted approximation L-2-estimates for partial derivative-equation Bergman spaces Multiplier ideal sheaves
DOI	10.1007/s12220-021-00772-4
收录类别	SCI
语种	英语
资助项目	NSFC[11688101] ; NSFC[11431013]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000739924600008
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59845
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.