| 多重调和Bergman空间上的Toeplitz算子和Hankel算子 |
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| 引用本文： | 孙志玲,孙燕.多重调和Bergman空间上的Toeplitz算子和Hankel算子[J].纯粹数学与应用数学,2014,30(4):393-405. |
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| 作者姓名： | 孙志玲 孙燕 |
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| 作者单位： | 内蒙古民族大学数学学院,内蒙古通辽,028000 |
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| 基金项目： | 内蒙古民族大学博士科研启动基金 |
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| 摘 要： | 完全刻画多重调和Bergman空间上Toeplitz算子和Hankel算子的紧性.运用紧Toeplitz算子这个结果,建立了Toeplitz代数和小Hankel代数的短正合列,推广了单位圆盘上相应的结果.
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| 关 键 词： | 多重调和Bergman空间 紧Toeplitz算子 Toeplitz代数 小Hankel代数 |
Toeplitz and Hankel operators on the pluriharmonic Bergman space |
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| Sun Zhiling,Sun Yan.Toeplitz and Hankel operators on the pluriharmonic Bergman space[J].Pure and Applied Mathematics,2014,30(4):393-405. |
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| Authors: | Sun Zhiling Sun Yan |
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| Institution: | (College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028000, China) |
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| Abstract: | In this paper, we completely characterize compact Toeplitz and Hankel operators on the pluriharmonic Bergman space. We establish the short exact sequences associated with the Toeplitz algebra and small Hankel algebra by using the criterion for compactness of Toeplitz operators, and generalize the corresponding results on the unit disk. |
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| Keywords: | pluriharmonic Bergman space compact Toeplitz operator Toeplitz algebra small Hankel algebra |
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