Essential Norm of Weighted Composition Operators and Difference of Composition Operators Between Standard Weighted Bergman Spaces

Lindstrom Mikael; Saukko Erno

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Essential Norm of Weighted Composition Operators and Difference of Composition Operators Between Standard Weighted Bergman Spaces

机译：加权合成算子的基本范数与标准加权Bergman空间之间的合成算子之差

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摘要

We obtain estimates for the essential norm of weighted composition operators and the difference of composition operators between standard weighted Bergman spaces . In particular, we generalize a result of J. Moorhouse which completely characterizes compactness of differences of composition operators on A(alpha)(p).

机译：我们获得了加权复合算子的基本范数和标准加权Bergman空间之间的复合算子的差的估计。特别是，我们概括了J. Moorhouse的结果，该结果完全刻画了Aα（p）上成分算子差异的紧凑性。

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《Complex analysis and operator theory》 |2015年第6期|共22页
作者
Lindstrom Mikael; Saukko Erno;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Weighted Bergman spaces; Essential norm; Weighted composition operator;

机译：加权Bergman空间;基本范数;加权合成算子;

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专利

1. Essential Norm of Weighted Composition Operators and Difference of Composition Operators Between Standard Weighted Bergman Spaces [J] . Lindstrom Mikael, Saukko Erno Complex analysis and operator theory . 2015,第6期

机译：加权合成算子的基本范数与标准加权Bergman空间之间的合成算子之差
2. Essential norm and a new characterization of weighted composition operators from weighted Bergman spaces and Hardy spaces into the Bloch space [J] . Li Songxiao, Qian Ruishen, Zhou Jizhen Czechoslovak Mathematical Journal . 2017,第3期

机译：从加权Bergman空间和硬化空间的加权组成算子的基本规范和新的表征到Bloch空间中
3. Essential Norm of Difference of Composition Operators from Weighted Bergman Spaces to Bloch-Type Spaces [J] . Ram Krishan, Mehak Sharma, Ajay K. Sharma Journal of Function Spaces . 2018,第4期

机译：从加权Bergman空间到Bloch型空间的合成算子差异的基本范数
4. (m, λ)-Berezin Transform and Approximation of Operators on Weighted Bergman Spaces over the Unit Ball [C] . Wolfram Bauer, Crispin Herrera Ya?ez, Nikolai Vasilevski IWOTA 2012 . 2014

机译：（m，λ）在单位球上加权伯格曼空间上的运算符的变换和近似
5. Compact and Hilbert-Schmidt weighted composition operators on the Bergman space. [D] . Karthikeyan, PalRamani. 2008

机译：Bergman空间上的Compact和Hilbert-Schmidt加权合成算子。
6. Compact differences of weighted composition operators on the weighted Bergman spaces [O] . Maocai Wang, Xingxing Yao, Fen Chen -1

机译：加权Bergman空间上加权复合算子的紧致差。
7. Essential norm and a new characterization of weighted composition operators from weighted Bergman spaces and Hardy spaces into the Bloch space [O] . Li, Songxiao, Qian, Ruishen, Zhou, Jizhen 2015

机译：基本规范和加权组合的新特征操作员从加权伯格曼空间和哈代空间进入布洛赫空间

Essential Norm of Weighted Composition Operators and Difference of Composition Operators Between Standard Weighted Bergman Spaces

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