| 微分算子的一类重要性质 |
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| 引用本文： | 王明刚,许华,田立新.微分算子的一类重要性质[J].佳木斯大学学报,2009,27(2). |
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| 作者姓名： | 王明刚 许华 田立新 |
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| 作者单位： | 王明刚,许华,WANG Ming-gang,XU Hua(南京师范大学泰州学院,江苏,泰州,225300);田立新,TIAN Li-xin(江苏大学非线性科学研究中心,江苏,镇江,212013)
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| 摘 要： | 给出了无界算子成为非游荡算子的充分条件,运用特征向量的方法研究了在Bargmann 空间上无界加权后移位算子的非游荡性,由此得出了微分算子在Bargmann空间上是非游荡算 子;最后讨论了微分算子在Hardy空间上的非游荡性.
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| 关 键 词： | 微分算子 非游荡算子 无界算子 Bargmann空间 Hardy空间 |
An Important Property of Differentiation Operator |
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| WANG Ming-gang,XU Hua,TIAN Li-xin.An Important Property of Differentiation Operator[J].Journal of Jiamusi University(Natural Science Edition),2009,27(2). |
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| Authors: | WANG Ming-gang XU Hua TIAN Li-xin |
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| Institution: | 1.Mathematics Department of Taizhou College;Nanjing Normal University;Taizhou 225300;China;2.Research Center of Nonlinear Science;Jiangsu University;Zhenjiang 212013;China |
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| Abstract: | a sufficient condition for an unbounded operator to be non-wandering operator was given,and then the condition was applied to the differentiation operator on the Bargmann space F and the Hardy space H2.Finally,a sufficient condition for the operator g(D) defined by means of a functional calculus to be non-wandering operator was given. |
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| Keywords: | differentiation operator non-wandering operator unbound operator Bargmann space Hardy space |
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