| 齐次Morrey-Herz空间上粗糙核高阶交换子的有界性 |
| |
| 引用本文： | 陶双平,武江龙.齐次Morrey-Herz空间上粗糙核高阶交换子的有界性[J].数学进展,2007,36(5):607-616. |
| |
| 作者姓名： | 陶双平 武江龙 |
| |
| 作者单位： | 西北师范大学数学与信息科学学院,兰州,甘肃,730070 |
| |
| 摘 要： | 在齐次Morrey-Herz空间上建立了由粗糙核算子T与BMO(R~n)函数生成的高阶交换子T_(b,m)的有界性.同时对Hardy-Littlewood极大粗糙算子和相应的分数次极大粗糙算子所生成的高阶交换子也得到了相应的结果.
|
| 关 键 词： | 高阶交换子 齐次Morrey-Herz空间 粗糙核算子 |
| 文章编号： | 1000-0917（2007）05-0607-10 |
| 修稿时间： | 2005-12-13 |
Boundedness of the Higher Order Commutators on the Homogeneous Morrey-Herz Space |
| |
| TAO Shuangping,WU Jianglong.Boundedness of the Higher Order Commutators on the Homogeneous Morrey-Herz Space[J].Advances in Mathematics,2007,36(5):607-616. |
| |
| Authors: | TAO Shuangping WU Jianglong |
| |
| Institution: | College of Mathematics and Information Science, Northwest Normal University, Lanzhou, Gansu, 730070, P. R. China |
| |
| Abstract: | The boundedness results on the homogeneous Morrey-Herz spaces are estab- lished for some higher order commutators formed by sublinear operators with rough kernels and function a BMO(R~n) functions.And on Hardy-Littlewood maximal operators with rough ker- nels and the fractional versions,the boundedness on the homogeneous Morrey-Herz spaces is also obtained |
| |
| Keywords: | BMO(Rn) |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
