| 多线性向量值奇异积分极大算子的加权不等式 |
| |
| 引用本文： | 陈冬香,陈杰诚,张璞.多线性向量值奇异积分极大算子的加权不等式[J].数学学报,2005,48(6):1041-1054. |
| |
| 作者姓名： | 陈冬香 陈杰诚 张璞 |
| |
| 作者单位： | [1]杭州师范学院,杭州310012 [2]浙江大学数学系,杭州310028 [3]浙江理工大学数学系,杭州310028 |
| |
| 基金项目： | 国家科委973项目（RC971077）,（1999075105）;教育部博士点基金（20030335019）资助 |
| |
| 摘 要： | 本文研究向量值奇异积分极大多线性交换子的性质,得到该算子的加权估计及加权弱型估计,作为该估计的推论可知算子T_(q,(?))~*在L~p(ω)上有界,其中ω∈A_p。当ω∈A_1时,满足加权L(logL)~(1/r)型估计。
|
| 关 键 词： | 多线性 向量值奇异积分 极大函数 |
| 文章编号： | 0583-1431（2005）06-1041-14 |
| 收稿时间： | 2003-09-28 |
| 修稿时间： | 2003-09-282004-03-01 |
Weighted Norm Inequalities for Multilinear Maximal Vector-Valued Singular Integral Operators |
| |
| Dong Xiang CHEN, Jie Cheng CHEN, Pu ZHANG.Weighted Norm Inequalities for Multilinear Maximal Vector-Valued Singular Integral Operators[J].Acta Mathematica Sinica,2005,48(6):1041-1054. |
| |
| Authors: | Dong Xiang CHEN Jie Cheng CHEN Pu ZHANG |
| |
| Institution: | Dong Xiang CHEN Department of Mathematics, Hangzhou Teachers' College, Hangzhou 310012, P. R. China Jie Cheng CHEN Department of Mathematics, Zhejiang University, Hangzhou 310028, P. R. China Pu ZHANG Department of Mathematics, Zhejiang University of Sciences Technology, Hangzhou 310028, P. R. China |
| |
| Abstract: | In this paper, the properties of multilinear maximal commutators for vectorvalued singular integrals are considered, and the weighted estimates and weighted weak type estimates are proved. As a corollary, it is deduced that the operator T_(q, b)~* is bounded on L~P(ω) when ω ∈ A_p and admits a corresponding weighted L(log L)~(1/r)-type estimate with ω ∈A_1. |
| |
| Keywords: | Multilinear Vector-valued singular integral Maximal operator |
| 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 |
|
