| 奇异积分交换子在加权Herz型Hardy空间上的有界性质 |
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| 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 |
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| 作者姓名： | 朱青堂 毋光先 王月山 |
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| 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 |
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| 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.
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| 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 |
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| 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 |
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| Authors: | ZHU Qing-tang WU Guang-xian WANG Yue-shan |
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| Affiliation: | 1.Department of Mathematicse,Jiaozuo Teacher College,Jiaozuo 454000,China) (2.Department of Basic Course,Jiaozuo University,Jiaozuo 454003,China) |
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| 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. |
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| Keywords: | singular integral commutator weighted Lipschitz space Herz space Herz-type Hardy space |
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