| 于燕燕,刘永民.对数Bloch空间上积型算子的有界性[J].数学年刊A辑,2016,37(3):273~290 |
| 对数Bloch空间上积型算子的有界性 |
| Boundedness of Product-Type Operators on the Logarithmic Bloch Spaces |
| Received:December 30, 2014 Revised:June 13, 2015 |
| DOI： |
| 中文关键词: 对数Bloch空间, 乘子, 复合算子, 微分算子 |
| 英文关键词:Logarithmic Bloch space, Multiplication operator, Composition operator, Differentiation operator |
| 基金项目:本文受到国家自然科学基金 (No.11171285)的资助. |
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| 中文摘要: |
| 让$H(\mathbb{D})$表示复平面$\mathbb{C}$里的单位圆盘$\mathbb{D}$上的所有解析函数的全体, $\psi_1,\psi_2\in H(\mathbb{D})$,
而$\varphi$是$\mathbb{D}$到$\mathbb{D}$的解析自映射. 本文刻画了对数Bloch空间上积型算子$T _{\psi_1,\psi_2,\varphi}$的有界性. |
| 英文摘要: |
| Let $H(\mathbb{D})$
denote the space of all analytic functions on the unit disc $\mathbb{D}$
in the complex plane $ \mathbb{C}$, $\psi_1,\psi_2\in H(\mathbb{D})$, and
$\varphi$ be an analytic self-map of $ \mathbb{D}$. In this paper,
the authors characterize the boundedness of product-type operators
$T _{\psi_1,\psi_2,\varphi}$ on logarithmic Bloch spaces. |
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