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].佳木斯工学院学报,2009(2):280-284. |
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作者姓名: | 王明刚 ;许华 ;田立新 |
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作者单位: | [1]南京师范大学泰州学院,江苏泰州225300; [2]江苏大学非线性科学研究中心,江苏镇江212013 |
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基金项目: | 国家自然科学基金资助项目(90610031). |
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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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Affiliation: | WANG Ming - gang , XU Hua , TIAN Li - xin(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 H^2 . 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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