| 满足H(m)条件的奇异积分算子的交换子的有界性 |
| |
| 引用本文： | 汤灿琴,马柏林.满足H(m)条件的奇异积分算子的交换子的有界性[J].数学学报,2010,53(2):243-250. |
| |
| 作者姓名： | 汤灿琴 马柏林 |
| |
| 作者单位： | 大连海事大学数学系;浙江嘉兴学院数学与信息工程学院; |
| |
| 基金项目： | 国家自然科学基金资助项目(10701078,10771054); 湖南省自然科学基金资助项目(09JJ5002) |
| |
| 摘 要： | 主要讨论了满足H(m)条件的奇异积分算子与Lipschitz函数的交换子在L~p和Hardy空间的有界性,并把这个结果应用于与薛定谔算子相关的Riesz变换.
|
| 关 键 词： | Lipschitz函数 奇异积分算子 H(m)条件 |
| 收稿时间： | 2008-05-05 |
| 修稿时间： | 2009-07-08 |
Boundedness of Commutators of Singular Integral Operators Satisfying Condition H(m) |
| |
| Can Qin TANG.Boundedness of Commutators of Singular Integral Operators Satisfying Condition H(m)[J].Acta Mathematica Sinica,2010,53(2):243-250. |
| |
| Authors: | Can Qin TANG |
| |
| Affiliation: | 1. Department of Mathematics, Dalian Maritime University, Dalian 116026, P. R. China;
2. College of Mathematics and Information Engineering, Jiaxing University, Jiaxing 314001, P. R. China |
| |
| Abstract: | In this paper, the boundedness of commutators associated with singular integral operators T satisfying H(m) with Lipschitz functions from Lp(Rn) to some Lq(Rn) spaces is obtained. The boundedness on Hardy space is also considered. The results are applied to obtain the boundedness of commutators of Riesz transforms associated with Schrödinger operator and Lipschitz functions.
|
| |
| Keywords: | Lipschitz function singular integral operator H(m) condition |
| 本文献已被 CNKI 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》下载全文 |
