PROPER HOLOMORPHIC MAPPINGS BETWEEN INVARIANT DOMAINS IN C-n
文献类型：期刊论文
| 作者 | Ning, Jiafu1; Zhang, Huiping2; Zhou, Xiangyu3,4
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| 刊名 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2017 |
| 卷号 | 369期号:1页码:517-536 |
| ISSN号 | 0002-9947 |
| DOI | 10.1090/tran/6690 |
| 英文摘要 | In the present paper, we prove the following result generalizing some well-known related results about biholomorphic or proper holomorphic mappings between some special domains in C-n. Let G(1) and G(2) be two compact Lie groups, which act linearly on C-n with O(C-n)(Gj) = C for j = 1, 2. Let 0. Oj be bounded Gj -invariant domains in C-n for j = 1, 2. If f : Omega(1) -> Omega(2) is a proper holomorphic mapping, then f extends holomorphically to an open neighborhood of (Omega) over bar (1), and in addition if f(-1)(0) = {0}, then f is a polynomial mapping. We also prove that if 0 is an element of Omega is a G(1)-invariant pseudoconvex domain in C-n with O(C-n)(G1) = C, then Omega is orbit convex. The second result is used to prove the first one. |
| 资助项目 | NSFC ; Fundamental Research Funds for the Central Universities[0208005202035] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000388665100018 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24192]  |
| 专题 | 数学所 |
| 通讯作者 | Ning, Jiafu |
| 作者单位 | 1.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China 2.Renmin Univ China, Informat Sch, Dept Math, Beijing 100872, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ning, Jiafu,Zhang, Huiping,Zhou, Xiangyu. PROPER HOLOMORPHIC MAPPINGS BETWEEN INVARIANT DOMAINS IN C-n[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2017,369(1):517-536. |
| APA | Ning, Jiafu,Zhang, Huiping,&Zhou, Xiangyu.(2017).PROPER HOLOMORPHIC MAPPINGS BETWEEN INVARIANT DOMAINS IN C-n.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,369(1),517-536. |
| MLA | Ning, Jiafu,et al."PROPER HOLOMORPHIC MAPPINGS BETWEEN INVARIANT DOMAINS IN C-n".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 369.1(2017):517-536. |
入库方式： OAI收割
来源：数学与系统科学研究院
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