| 2维二进求导极大算子的有界性 |
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| 引用本文： | 张学英,俞晓红,张传洲. 2维二进求导极大算子的有界性[J]. 数学杂志, 2011, 31(3): 395-400 |
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| 作者姓名： | 张学英 俞晓红 张传洲 |
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| 作者单位： | 1. 武汉科技大学理学院,湖北武汉,430065
2. 洛阳理工学院数理部,河南洛阳,471023 |
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| 基金项目： | Supported by Hubei Province Key Laboratory of Systems Science in Metal-lurgical Process(Wuhan University of Science and Technology)(C201016); National Natural Science Foundation of Pre-Research Item(2011XG005) |
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| 摘 要： | 本文研究了二进求导极大算子的有界性.利用狄利克雷核的重要性质,构造了反例证明此极大算子在一维和二维情况下都不是从Hardy空间Hp到Hardy空间Hp有界的,其中0
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| 关 键 词： | Hardy空间 二进导数 二进积分 |
THE BOUNDEDNESS OF TWO-DIMENSIONAL MAXIMAL OPERATOR OF DYADIC DERIVATIVE |
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| ZHANG Xue-ying,YU Xiao-hong,ZHANG Chuan-zhou. THE BOUNDEDNESS OF TWO-DIMENSIONAL MAXIMAL OPERATOR OF DYADIC DERIVATIVE[J]. Journal of Mathematics, 2011, 31(3): 395-400 |
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| Authors: | ZHANG Xue-ying YU Xiao-hong ZHANG Chuan-zhou |
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| Affiliation: | ZHANG Xue-ying1,YU Xiao-hong2,ZHANG Chuan-zhou1(1.College of Science,Wuhan University of Science and Technology,Wuhan 430065,China)(2.Dept.of Math.,Luoyang Institute of Science and Technology,Luoyang 471023,China) |
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| Abstract: | In this paper, we consider the maximal operator of dyadic derivative. By using property of Dirichlet kernel, we construct a counter-example to prove that the one- and two-dimensional maximal operators are not bounded from the Hardy space Hp to the Hardy space Hp for 0 ＜ p ≤ 1. These results enrich some known conclusions and point out that the conclusion in[4] is incorrect. |
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| Keywords: | Hardy spaces dyadic derivative dyadic integral |
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