| 变指数二进鞅空间上二进求导极大算子有界性研究（英文） |
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| 引用本文： | 张传洲,夏,绮,张学英.变指数二进鞅空间上二进求导极大算子有界性研究（英文）[J].应用数学,2019,32(4):910-919. |
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| 作者姓名： | 张传洲 夏 绮 张学英 |
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| 作者单位： | 武汉科技大学理学院, 湖北 武汉 430065 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(61671338,11871195) |
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| 摘 要： | 本文研究变指数二进鞅空间理论.借助于对数Holder连续的等价刻画,得到Doob不等式.借助于变指数鞅空间的原子分解理论,证明二进求导极大算子的有界性,上述结果推广了经典情形结论.
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| 关 键 词： | 鞅 变指数 二进导数 原子分解 |
The Boundedness of Maximal Dyadic Derivative Operator on Dyadic Martingale Hardy Space with Variable Exponents |
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| ZHANG Chuanzhou,XIA Qi,ZHANG Xueying.The Boundedness of Maximal Dyadic Derivative Operator on Dyadic Martingale Hardy Space with Variable Exponents[J].Mathematica Applicata,2019,32(4):910-919. |
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| Authors: | ZHANG Chuanzhou XIA Qi ZHANG Xueying |
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| Institution: | (College of Science, Wuhan University of Science and Technology, Wuhan 430065, China) |
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| Abstract: | In this paper, we research dyadic martingale Hardy space with variable exponents. By the characterization of log-Holder continuity, the Doob's inequality is derived. Moreover, we prove the boundedness of maximal dyadic derivative operator by the atomic decomposition of variable exponent martingale space, which generalizes the conclusion in classical case. |
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| Keywords: | Martingale Variable exponent Dyadic derivative Atomic decomposition |
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