| 向量值鞅变换算子加权条件矩不等式及其应用 |
| |
| 引用本文： | 张永,于林.向量值鞅变换算子加权条件矩不等式及其应用[J].济南大学学报(自然科学版),2007,21(1):78-81. |
| |
| 作者姓名： | 张永 于林 |
| |
| 作者单位： | 三峡大学,理学院,湖北,宜昌,443002 |
| |
| 基金项目： | 湖北省教育厅自然科学基金 |
| |
| 摘 要： | 证明加权条件下Banach值鞅变换算子的极大函数、P阶均方函数条件矩不等式；作为应用，给出了鞅变换算子的极大函数，P阶均方函数的加权Ф型不等式，并且与Banach空间的一致凸性和一致光滑性联系起来。
|
| 关 键 词： | 鞅变换 加权条件期望不等式 p一致光滑性 q一致凸性 |
| 文章编号： | 1671-3559(2007)01-0078-04 |
| 修稿时间： | 2006年10月9日 |
Weighted Moment Inequalities of Vector Valued Martingale Transform Operators and its Application |
| |
| ZHANG Yong,YU Lin.Weighted Moment Inequalities of Vector Valued Martingale Transform Operators and its Application[J].Journal of Jinan University(Science & Technology),2007,21(1):78-81. |
| |
| Authors: | ZHANG Yong YU Lin |
| |
| Abstract: | In this paper,weighted condition expectation inequalities of Banach valued martingale transform Operators is presented;as its application,we give the martingale transform operators'Burkholder-Gundy type inequality and Davis type inequality about the maximal function and the p-variation square function,furthermore,the p-uniform smoothness and q-uniform convexity of Banach space are connected by the inequalities of lmartingale transform Operators. |
| |
| Keywords: | martingale transform weighted moment inequalities p-uniform moothness q-uniform convexity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
