| 一类非正则象征拟微分算子的无界性 |
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| 引用本文： | 赖绍永,吕秀梅,殷俊.一类非正则象征拟微分算子的无界性[J].四川师范大学学报(自然科学版),2007,30(4):463-464. |
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| 作者姓名： | 赖绍永 吕秀梅 殷俊 |
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| 作者单位： | 1. 西南财经大学,经济数学学院,四川,成都,610074
2. 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 人事部留学回国人员优秀科研基金 |
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| 摘 要： | 使用积分算子理论中的紧支集分析方法研究了一类特殊的非正则象征拟微分算子,这类非正则象征在空间变量无穷大时衰减为零,并给出了反例说明这类带非正则象征拟微分算子的无界性.
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| 关 键 词： | 非正则象征 拟微分算子 反例 |
| 文章编号： | 1001-8395（2007）04-0463-02 |
| 收稿时间： | 2005-11-22 |
| 修稿时间： | 2005-11-22 |
On the Un-boundedness of Pseudo -differential Operators with Nonregular Symbols |
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| LAI Shao-yong,LV Xiu-mei,YIN Jun.On the Un-boundedness of Pseudo -differential Operators with Nonregular Symbols[J].Journal of Sichuan Normal University(Natural Science),2007,30(4):463-464. |
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| Authors: | LAI Shao-yong LV Xiu-mei YIN Jun |
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| Institution: | 1. College of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, Sichuan ; 2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan |
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| Abstract: | A mathematical technique based on the analysis of compact sets in the integral operator theory is applied to study a special class of pseudo-differential operators with non-regular symbols, which decay to zero as the space coordinate tends to infinite. A concrete counterexample is given to show that the L2-unboundedness for the pseudo-differential operators. |
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| Keywords: | Non-regular symbol Pseudo-differential operators Counterexample |
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