| 吴玮玮,徐辉明.多圆柱上Bloch型空间之间加权复合算子的本性范数[J].数学年刊A辑,2014,35(3):285~298 |
| 多圆柱上Bloch型空间之间加权复合算子的本性范数 |
| The Essential Norms of Weighted Composition Operators Between Bloch-type Spacesin the Polydisc |
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| DOI： |
| 中文关键词: Bloch型空间, 加权复合算子, 本性范数 |
| 英文关键词:Bloch-type space, Weighted composition operator, Essential norm |
| 基金项目:国家自然科学基金 (No.11271124, No.11271332, No.11001246)和浙江省自然科学基金(No.Y6110053) |
| Author Name | Affiliation | E-mail | | WU Weiwei | College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, Zhejiang, China. | 306533588@qq.com | | XU Huiming | Corresponding author. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, Zhejiang, China. | xhm@zjnu.cn |
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| 中文摘要: |
| 设$\varphi(z)=(\varphi_{1}(z),\cdots ,\varphi_{n}(z))$是$\mathbb{D}^{n}$到自身的一个全纯映射,
$\psi(z)$是$\mathbb{D}^{n}$上的全纯函数, 其中$\mathbb{D}^{n}$是$\mathbb{C}^{n}$中的单位多圆柱.
研究了单位多圆柱上Bloch 型空间之间的加权复合算子$\psi C_{\varphi}$的本性范数, 并给出了其上下界估计. |
| 英文摘要: |
| Let $\varphi(z)=(\varphi_{1}(z),\cdots ,\varphi_{n}(z))$ be a holomorphic self-map
of $\mathbb{D}^{n}$ and $\psi(z)$ a holomorphic function on $\mathbb{D}^{n}$,
where $\mathbb{D}^{n}$ is the unit polydisc of $\mathbb{C}^{n}$.
The authors investigate the essential norms of the weighted composition operator $\psi C_{\varphi}$
between Bloch-type spaces in the unit polydisc, and gives the lower and upper estimates of the essential norms. |
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