Composition operators on analytic vector-valued Nevanlinna classes
文献类型：期刊论文
| 作者 | Wang, MF |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2005-10-01 |
| 卷号 | 25期号:4页码:771-778 |
| 关键词 | composition operator boundedness weak compactness Carleson measure vector-valued Nevanlinna class |
| 英文摘要 | Let phi be an analytic self-map of the complex unit disk and X a Banach space. This paper studies the action of composition operator C-phi: f -> f circle phi on the vector-valued Nevanlinna classes N(X) and N-alpha(X). Certain criteria for such operators to be weakly compact are given. As a consequence, this paper shows that the composition operator C-phi is weakly compact on N(X) and N-alpha(X) if and only if it is weakly compact on the vector-valued Hardy space H-1(X) and Bergman space B-1(X) respectively. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | COMPACT COMPOSITION OPERATORS ; FUNCTION-SPACES |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000233058300022 |
| 公开日期 | 2015-07-28 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/4466]  |
| 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 | 1.CAS, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, MF. Composition operators on analytic vector-valued Nevanlinna classes[J]. ACTA MATHEMATICA SCIENTIA,2005,25(4):771-778. |
| APA | Wang, MF.(2005).Composition operators on analytic vector-valued Nevanlinna classes.ACTA MATHEMATICA SCIENTIA,25(4),771-778. |
| MLA | Wang, MF."Composition operators on analytic vector-valued Nevanlinna classes".ACTA MATHEMATICA SCIENTIA 25.4(2005):771-778. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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