| 上半平面的Bloch空间和增长型空间上的复合算子的谱 |
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| 引用本文： | 姬小斌,于涛.上半平面的Bloch空间和增长型空间上的复合算子的谱[J].浙江师范大学学报(自然科学版),2011,34(2):132-134. |
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| 作者姓名： | 姬小斌 于涛 |
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| 作者单位： | 浙江师范大学,数理与信息工程学院,浙江,金华,321004 |
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| 基金项目： | 国家自然科学基金资助项目，浙江省自然科学基金资助项目 |
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| 摘 要： | 研究了上半平面Bloch空间和上半平面增长型空间上的复合算子,证明了一类Bloch空间上复合算子的谱是闭单位圆盘,并刻画了一类增长型空间上复合算子的谱.
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| 关 键 词： | 复合算子 上半平面Hardy空间 上半平面增长型空间 上半平面Bloch空间 |
The spectra of composition operator on the Bloch space and the growth space on the upper half-plane |
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| JI Xiaobin,YU Tao.The spectra of composition operator on the Bloch space and the growth space on the upper half-plane[J].Journal of Zhejiang Normal University Natural Sciences,2011,34(2):132-134. |
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| Authors: | JI Xiaobin YU Tao |
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| Institution: | JI Xiaobin,YU Tao(College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua Zhejiang 321004,China) |
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| Abstract: | It was discussed the composition operators on the Bloch space and the growth-type space on the upper half-plane.It was proved that the spectrum of a class of composition operators on the Bloch space was the closed unit disk in the complex plane,and the spectrums of a class of composition operators on the growth space were characterized. |
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| Keywords: | composition operator Hardy space on the upper half-plane growth space on the upper half-plane Bloch space on the upper half-plane |
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