| p-级数域重排特征系统加权极大函数 |
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| 引用本文： | 张学英,张传洲. p-级数域重排特征系统加权极大函数[J]. 应用泛函分析学报, 2011, 13(1): 1-6. DOI: 10.3724/SP.J.1160.2011.00001 |
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| 作者姓名： | 张学英 张传洲 |
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| 作者单位： | 武汉科技大学理学院,武汉,430065 |
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| 基金项目： | Supported by Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Wuhan University of Science and Technology)(C201016) |
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| 摘 要： | 通过研究狄利克雷核的一般性质，讨论P-级数域重排特征系统的加权极大狄利克雷核函数的积分情况，并给出加权极大函数可积的充要条件．
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| 关 键 词： | 狄利克雷核 特征系统 Kaczmarz重排法则 |
Weighted Maximal Function of the Character System of the p-series Field in the Kaczmarz Rearrangement |
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| ZHANG Xueying,ZHANG Chuanzhou. Weighted Maximal Function of the Character System of the p-series Field in the Kaczmarz Rearrangement[J]. Acta Analysis Functionalis Applicata, 2011, 13(1): 1-6. DOI: 10.3724/SP.J.1160.2011.00001 |
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| Authors: | ZHANG Xueying ZHANG Chuanzhou |
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| Affiliation: | ZHANG Xueying ZHANG Chuanzhou College of Sciences,Wuhan University of Science and Technology,Wuhan 430065,China |
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| Abstract: | In this paper we investigate the integral of the weighted maximal function of Dirichlet kernel of character system of the p-series field in the Kaczmarz rearrangement by the general properties of Dirichlet kernel. We give necessary and sufficient conditions for the finiteness of the integrals. |
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| Keywords: | Dirichlet kernel Character system Kaczmarz rearrangement |
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