| 鞅的矩型极大算子的若干不等式 |
| |
| 引用本文： | 任颜波,侯友良.鞅的矩型极大算子的若干不等式[J].数学学报,2007,50(6):1325-133. |
| |
| 作者姓名： | 任颜波 侯友良 |
| |
| 作者单位： | 河南科技大学理学院，武汉大学数学与统计学院 洛阳 471003，武汉 430072 |
| |
| 基金项目： | 国家自然科学基金(10671147) |
| |
| 摘 要： | 给出了算子T=∑_(n=1)~∞T_n在H_B~p和BMO_(p,B)~-上有界的一些充分条件,其中T_n(n∈P)为具有Δ性质的算子.作为应用,借助于算子值鞅变换得到了关于鞅的矩型极大算子的强(p,p)型不等式和弱(1,1)型不等式,以及其在BMO_(p,B)~-上的有界性.这些结果与经典H~p鞅论中极大算子的性质相对应.
|
| 关 键 词： | 鞅 Δ性质 矩型极大算子 算子值鞅变换 |
| 文章编号： | 0583-1431（2006）06-1325-06 |
| 收稿时间： | 2006-6-22 |
| 修稿时间： | 2006-06-22 |
Some Inequalities of Maximal Operators of Matrix Type for Martingales |
| |
| Yan Bo REN,You Liang HOU.Some Inequalities of Maximal Operators of Matrix Type for Martingales[J].Acta Mathematica Sinica,2007,50(6):1325-133. |
| |
| Authors: | Yan Bo REN You Liang HOU |
| |
| Institution: | 1.Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, P. R. China;2.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China |
| |
| Abstract: | In this paper,some sufficient conditions are given for an operator T= (?)T)_n to be bounded on H_B~p and BMO_(p,B)~-,where T_n(n∈P)are operators with property A.As applications,with the help of operator-valued martingale transforms, the strong(p,p)type,weak(1,1)type inequalities and the boundedness on BMO~-_(p,B) for maximal operators of matrix type are obtained.The results are counterparts for maximal operators in classical martingale H~p theory. |
| |
| Keywords: | martingale propertyΔ maximal operator of matrix type operatorvalued martingale transform |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
|
