| 和广义微分算子相结合的最小最大算子 |
| |
| 引用本文： | 张宏坤,廉进国. 和广义微分算子相结合的最小最大算子[J]. 内蒙古大学学报(自然科学版), 2006, 37(1): 9-12 |
| |
| 作者姓名： | 张宏坤 廉进国 |
| |
| 作者单位： | 伯明翰阿拉巴马大学数学系,美国,伯明翰,AL35205;华北电力大学应用数学系,河北,保定,071003;伯明翰阿拉巴马大学数学系,美国,伯明翰,AL35205;华北电力大学应用数学系,河北,保定,071003 |
| |
| 摘 要： | 研究了一类和广义微分算式（在弱导数的意义下）相联系的最小算子和最大算子．证明了最小算子是对称的，并且最小算子的共轭算子是相应的最大算子．
|
| 关 键 词： | 广义微分算子 最小算子 最大算子 若当测度 |
| 文章编号： | 1000-1638（2006）01-0009-04 |
| 收稿时间： | 2005-04-07 |
| 修稿时间： | 2005-04-07 |
Minimal and Maximal Operators Associated with Generalized Differential Expressions |
| |
| ZHANG Hong-kun,LIAN Jin-guo. Minimal and Maximal Operators Associated with Generalized Differential Expressions[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2006, 37(1): 9-12 |
| |
| Authors: | ZHANG Hong-kun LIAN Jin-guo |
| |
| Affiliation: | 1. Department of Mathematics,University of Alabama at Birmingham; Birmingham, AL35205, USA ; 2. Department of Applied Mathematics, North China Electric Power University, Baoding , Hebei 071003, PRC |
| |
| Abstract: | It is studied that the corresponding minimal and maximal operators as-sociated with a class of generalized differential (in distribution sense) expres-sions.It is shown that the minimal operators are symmetric and the adjoint oper-ators of the minimal operators are exactly the corresponding maximal operators. |
| |
| Keywords: | generalized differential operator minimal operator maximal operator Radon measure |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
