The Degree of Proper Holomorphic Mappings Between Special Domains in DOUBLE-STRUCK CAPITAL C-n
文献类型：期刊论文
| 作者 | Ning, Jia Fu2; Zhou, Xiang Yu1,3 |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2020-04-01 |
| 卷号 | 36期号:4页码:395-400 |
| 关键词 | Group action degree of polynomial mapping proper lomorphic mapping Bergman kernel invariant domain |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-020-9299-z |
| 英文摘要 | Let Gi be closed Lie groups of U(n), omega(i) be bounded G(i)-invariant domains in DOUBLE-STRUCK CAPITAL C-n which contains 0, and O(DOUBLE-STRUCK CAPITAL C-n)(Gi) = DOUBLE-STRUCK CAPITAL C, for i = 1, 2. It is known that if f: omega(1) ->} omega(2) is a proper holomorphic mapping, and f(-1){0} = {0}, then f is a polynomial mapping. In this paper, we provide an upper bound for the degree of such a polynomial mapping using the multiplicity of f. |
| 资助项目 | National Natural Science Foundation of China[11801572] ; National Natural Science Foundation of China[11688101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000525326700003 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51073]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ning, Jia Fu |
| 作者单位 | 1.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 2.Cent South Univ, Dept Math, Changsha 410083, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ning, Jia Fu,Zhou, Xiang Yu. The Degree of Proper Holomorphic Mappings Between Special Domains in DOUBLE-STRUCK CAPITAL C-n[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2020,36(4):395-400. |
| APA | Ning, Jia Fu,&Zhou, Xiang Yu.(2020).The Degree of Proper Holomorphic Mappings Between Special Domains in DOUBLE-STRUCK CAPITAL C-n.ACTA MATHEMATICA SINICA-ENGLISH SERIES,36(4),395-400. |
| MLA | Ning, Jia Fu,et al."The Degree of Proper Holomorphic Mappings Between Special Domains in DOUBLE-STRUCK CAPITAL C-n".ACTA MATHEMATICA SINICA-ENGLISH SERIES 36.4(2020):395-400. |
入库方式： OAI收割
来源：数学与系统科学研究院
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