Lu Qi-Keng's problem on some complex ellipsoids

doi:10.1016/j.jmaa.2009.04.018

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	Lu Qi-Keng's problem on some complex ellipsoids
	Zhang, Liyou 2; Yin, Weiping 1
	2009-09-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	357 期号:2 页码:364-370
摘要	In this note, we give an improvement on the Bergman kernel for the domain {(w, z) is an element of C(m) x C(n): parallel to w parallel to(2p)(m) + parallel to z parallel to(2)(n) < 1}. As an application, we describe how the zeroes of the kernel depend on the defining parameters p, m, n. We also consider the domain {{(w, z) is an element of C(2) : vertical bar w vertical bar(4) + vertical bar z vertical bar(4) < 1} (C) 2009 Elsevier Inc. All rights reserved.
关键词	Lu Qi-Keng problem Bergman kernel Weighted Bergman kernel
DOI	10.1016/j.jmaa.2009.04.018
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000266794500006
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8788
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Liyou
作者单位	1.Capital Normal Univ, Sch Math Sci, Beijing 100037, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Liyou,Yin, Weiping. Lu Qi-Keng's problem on some complex ellipsoids[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2009,357(2):364-370.
APA	Zhang, Liyou,&Yin, Weiping.(2009).Lu Qi-Keng's problem on some complex ellipsoids.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,357(2),364-370.
MLA	Zhang, Liyou,et al."Lu Qi-Keng's problem on some complex ellipsoids".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 357.2(2009):364-370.