| 罗罗.单位球上加权Begrman空间和Hardy空间上的保范复合算子[J].数学年刊A辑,2017,38(3):265~268 |
| 单位球上加权Begrman空间和Hardy空间上的保范复合算子 |
| Isometries of the Composition Operators on Weighted Bergman Spaces and Hardy Spaces[2mm] of the Unit Ball in \mathbbCn |
| Received:August 18, 2015 Revised:September 12, 2016 |
| DOI：10.16205/j.cnki.cama.2017.0021 |
| 中文关键词: Isometry, Composition operator, Bergman space, Hardy space |
| 英文关键词:Isometry, Composition operator, Bergman space, Hardy space |
| 基金项目:本文受到国家自然科学基金(No.11471301,No.11571333)的资助. |
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| 中文摘要: |
| 作者证明了复合算子$C_{\varphi}$是单位球上加权Begrman空间上的保范算子当且仅当$\varphi$是旋转变换.
对单位球上的Hardy空间上的保范复合算子仅得到部分结果. |
| 英文摘要: |
| The author gets that a composition operator $C_{\varphi}$ is an isometry on weighted Bergman
spaces of the unit ball if and only if $\varphi$ is a rotation. For isometries of
the composition operators on Hardy spaces of the unit ball only partial results are obtained. |
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