| 与极大四瓦片算子有界性相关的某些原理 |
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| 引用本文： | 刘海涛,李国全.与极大四瓦片算子有界性相关的某些原理[J].数学杂志,2010,30(5). |
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| 作者姓名： | 刘海涛 李国全 |
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| 作者单位： | 天津师范大学数学科学学院,天津,300074 |
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| 摘 要： | 本文研究了极大四瓦片算子的线性化过程.利用一族线性算子的一致有界性,获得了极大四瓦片算子的强型估计和弱型估计.并且指出了文献1,2]中的某些错误.
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| 关 键 词： | Walsh函数 小波包 四瓦片算子 |
SOME PRINCIPLES RELATING TO BOUNDEDNESS OF THE MAXIMAL QUARTILE OPERATOR |
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| LIU Hai-tao,LI Guo-quan.SOME PRINCIPLES RELATING TO BOUNDEDNESS OF THE MAXIMAL QUARTILE OPERATOR[J].Journal of Mathematics,2010,30(5). |
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| Authors: | LIU Hai-tao LI Guo-quan |
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| Institution: | LIU Hai-tao,LI Guo-quan(College of Math.Science,Tianjin Normal University,Tianjin 300074,China) |
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| Abstract: | In this article, we study the linearization process of the maximal quartile operator.Using uniform boundedness of a family of linear operators, we obtain the strong type estimate and the weak type estimate of the maximal quartile operator. Moreover, some errors in 1] and 2] are pointed out. |
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| Keywords: | Walsh function wave packet the quartile operator |
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