Vector-valued holomorphic functions on the complex ball and the analytic radon-nikodym property
文献类型：期刊论文
| 作者 | Chen, ZQ; Ouyang, CH |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2000-04-01 |
| 卷号 | 20期号:2页码:278-288 |
| 关键词 | Complex Banach spaces the analytic Radon-Nikodym property inner functions inner Hardy martingales |
| 英文摘要 | The complex Banach spaces X with values in which every bounded holomorphic function in the unit hall B of C-d(d > 1) has boundary limits almost surely are exactly the spaces with the analytic Radon-Nikodym property. The proof is based on inner Hardy martingales introduced here. The inner Hardy martingales are constructed in terms of inner functions in B and are reasonable discrete approximations for the image processes of the holomorphic Brownian motion under X-valued holomorphic functions in B. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | MARTINGALE CONVERGENCE ; SPACES |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000087619000018 |
| 公开日期 | 2015-12-01 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/8481]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, ZQ,Ouyang, CH. Vector-valued holomorphic functions on the complex ball and the analytic radon-nikodym property[J]. ACTA MATHEMATICA SCIENTIA,2000,20(2):278-288. |
| APA | Chen, ZQ,&Ouyang, CH.(2000).Vector-valued holomorphic functions on the complex ball and the analytic radon-nikodym property.ACTA MATHEMATICA SCIENTIA,20(2),278-288. |
| MLA | Chen, ZQ,et al."Vector-valued holomorphic functions on the complex ball and the analytic radon-nikodym property".ACTA MATHEMATICA SCIENTIA 20.2(2000):278-288. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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