Compact Differences of Composition Operators on the Bergman Spaces Over the Ball

Boo Rim Choe; Hyungwoon Koo; Inyoung Park

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Compact Differences of Composition Operators on the Bergman Spaces Over the Ball

机译：球伯格曼空间上合成算子的紧致差分

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The compact differences of composition operators acting on the weighted L~2-Bergman space over the unit disk is characterized by the angular derivative cancellation property and due to Moorhouse. In this paper we extend Moorhouse's characterization, as well as some related results, to the ball and, at the same time, to the weighted L~p-Bergman space for the full range of p.

机译：作用在单位圆盘上加权L〜2-Bergman空间上的合成算子的紧致差异由角度导数抵消性质和Moorhouse引起。在本文中，我们将Moorhouse的刻画以及一些相关结果扩展到球，同时扩展到整个p范围的加权L〜p-Bergman空间。

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《Potential analysis: An international journal devoted to the interactions between potential theory, probability theory, geometry and functional analysis》 |2014年第1期|共22页
作者
Boo Rim Choe; Hyungwoon Koo; Inyoung Park;
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正文语种 eng
中图分类数学;
关键词
Composition operator; Compact difference; Compact combination; Weighted Bergman space; Ball;

机译：合成算子紧凑差分紧凑组合加权Bergman空间球;

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专利

1. Compactness of the differences of weighted composition operators from weighted Bergman spaces to weighted-type spaces on the unit ball [J] . Stevi? S., Jiang Z.J. Taiwanese journal of mathematics . 2011,第6期

机译：单位球上从加权Bergman空间到加权类型空间的加权合成算子的差异的紧凑性
2. COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON BERGMAN SPACES IN THE BALL [J] . Yang XD, Khoi LH Journal of the Australian Mathematical Society . 2010,第3期

机译：球上伯格曼空间上的算子算子的紧致差异
3. Compact differences of volterra composition operators from bergman-type spaces to bloch-type spaces [J] . Jiang Z.J. Journal of computational analysis and applications . 2013,第6期

机译：Volterra合成算子从bergman型空间到bloch型空间的紧凑差异
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 composition operators on the Hardy and Bergman spaces. [D] . Tadesse, Abebaw. 2006

机译：Hardy和Bergman空间上的紧凑型合成算子。
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. COMPACTNESS OF THE DIFFERENCES OF WEIGHTED COMPOSITION OPERATORS FROM WEIGHTED BERGMAN SPACES TO WEIGHTED-TYPE SPACES ON THE UNIT BALL [O] . Stevo Stević, Zhi Jie Jiang 2011

机译：紧凑性从加权Bergman空间从加权Bergman空间到单位球上加权型空间的差异

Compact Differences of Composition Operators on the Bergman Spaces Over the Ball

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