| 奇异积分交换子在加权Herz型Hardy空间上的有界性质 |
| |
| 引用本文： | 朱青堂,毋光先,王月山.奇异积分交换子在加权Herz型Hardy空间上的有界性质[J].数学的实践与认识,2012,42(12):182-188. |
| |
| 作者姓名： | 朱青堂 毋光先 王月山 |
| |
| 作者单位： | 1. 焦作师范高等专科学校数学系,河南焦作,454000
2. 焦作大学基础科学系,河南焦作,454003 |
| |
| 摘 要： | T_b表示由加权Lipschitz函数b与Calderon-Zygmund奇异积分算子T生成的交换子.研究了T_b在加权Herz型Hardy空间上的有界性质,并在端点处证明了交换子是从加权Herz型Hardy空间到加权弱Herz空间的有界算子.
|
| 关 键 词： | 奇异积分 交换子 加权Lipschitz函数 Herz空间 Herz型Hardy空间 |
The Boundedness of Commutator of Singular Integrals on Weighted Herz-Type Hardy Spaces |
| |
| ZHU Qing-tang
,
WU Guang-xian
,
WANG Yue-shan.The Boundedness of Commutator of Singular Integrals on Weighted Herz-Type Hardy Spaces[J].Mathematics in Practice and Theory,2012,42(12):182-188. |
| |
| Authors: | ZHU Qing-tang WU Guang-xian WANG Yue-shan |
| |
| Institution: | 1.Department of Mathematicse,Jiaozuo Teacher College,Jiaozuo 454000,China) (2.Department of Basic Course,Jiaozuo University,Jiaozuo 454003,China) |
| |
| Abstract: | Let T_b denote the commutator generated by Calderon-Zygmund singular operator T and weighted Lipschitz function b∈Lip_β(μ)(0 <β< 1).In this paper,we investigate the boundeness of T_b on weighted Herz-type Hardy space,the weak type estimate is given at the endpoint. |
| |
| Keywords: | singular integral commutator weighted Lipschitz space Herz space Herz-type Hardy space |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
