| 摘要: |
| 本文研究了r阶二进求导极大算子的有界性.利用Dirichlet核的性质证明了此极大算子在一维和d维情况下都不是从Hardy空间Hp到Hardy空间Hp有界的,其中0＜p≤1.推广了文献[5]中的结论. |
| 关键词: Hardy空间 二进导数 二进积分 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:Supported by Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology) (C201016); National Natural Science Foundation of Pre-Research Item (2011XG005) |
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| THE BOUNDEDNESS OF r-ORDER MAXIMAL OPERATOR OF DYADIC DERIVATIVE |
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XIAO Jun,YU Xiao-hong,ZHANG Chuan-zhou
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XIAO Jun1,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 r-order maximal operator of dyadic derivative. By using Dirichlet kernel property, we prove that the maximal operator is not bounded from the oneor d- dimensional Hardy space Hp to itself for 0 ＜ p ≤ 1, which extend the results in [5]. |
| Key words: Hardy space dyadic derivative dyadic integral |
