| 关于Durrmeyer－Stieltjes算子 |
| |
| 引用本文： | 陈文忠.关于Durrmeyer－Stieltjes算子[J].厦门大学学报(自然科学版),1995(5). |
| |
| 作者姓名： | 陈文忠 |
| |
| 作者单位： | 数学研究所 |
| |
| 摘 要： | 设ｖ是［０，１］上有限Ｂｏｒｅｌ测度，本文定义Ｄｕｒｒｍｅｙｅｒ－Ｓｔｉｅｌｔｊｅｓ算子Ｄ＿ｎｖ，证明算子序列｛Ｄ＿ｎ｝的极大算子Ｄ￣＊是弱型的以及算子序列｛Ｄ＿ｎｖ｝在［０，１］上几乎处处收敛于测度ｖ的绝对连续部分的Ｒａｄｏｎ－Ｎｉｋｏｄｙｍ导数．
|
| 关 键 词： | Borel测度，Durrmeyer－Stieltjes算子，极大算子，弱型 |
On Durrmeyer-Stieltjes Operators |
| |
| Chen Wenzhong.On Durrmeyer-Stieltjes Operators[J].Journal of Xiamen University(Natural Science),1995(5). |
| |
| Authors: | Chen Wenzhong |
| |
| Institution: | Dept.of Math. |
| |
| Abstract: | The Durrmeyer-Stieltjes operators D_n are defined. The author proves thatmaximal operator of the sequence D_n is of weak type and the sequence of operators D_nv converges.e.on 0,1] to the Radon-Nikodym derivative of the absolutely continuous part of Borel mea-sure v. |
| |
| Keywords: | Bord measure Durrmeyer-Stieltjes operator Maximal operator weaktype |
| 本文献已被 CNKI 等数据库收录！ |
