thedegreeofbiholomorphicmappingsbetweenspecialdomainsincnpreserving0

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	thedegreeofbiholomorphicmappingsbetweenspecialdomainsincnpreserving0
	Ning Jiafu 1; Zhou Xiangyu2
	2017
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	60 期号:6 页码:1077
摘要	Let G_i be a closed Lie subgroup of U(n), Ω_i be a bounded G_i-invariant domain in C~n which contains 0, and O(C~n)~(G_i) = C, for i = 1; 2. If f: Ω_1 → Ω_2 is a biholomorphism, and f(0) = 0, then f is a polynomial mapping (see Ning et al. (2017)). In this paper, we provide an upper bound for the degree of such polynomial mappings. It is a natural generalization of the well-known Cartan's theorem.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/36468
专题	数学所
作者单位	1.重庆大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Ning Jiafu,Zhou Xiangyu. thedegreeofbiholomorphicmappingsbetweenspecialdomainsincnpreserving0[J]. sciencechinamathematics,2017,60(6):1077.
APA	Ning Jiafu,&Zhou Xiangyu.(2017).thedegreeofbiholomorphicmappingsbetweenspecialdomainsincnpreserving0.sciencechinamathematics,60(6),1077.
MLA	Ning Jiafu,et al."thedegreeofbiholomorphicmappingsbetweenspecialdomainsincnpreserving0".sciencechinamathematics 60.6(2017):1077.