| 一类带有变量核的积分算子在Herz型Hardy空间的有界性 |
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| 引用本文： | 张璞,陈杰诚. 一类带有变量核的积分算子在Herz型Hardy空间的有界性[J]. 数学年刊A辑(中文版), 2004, 0(5) |
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| 作者姓名： | 张璞 陈杰诚 |
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| 作者单位： | 浙江理工大学数学研究所，浙江大学数学系 杭州 310018，杭州 310028 |
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| 基金项目： | 国家科委973(No.G1999075105)，浙江工程学院引进人才(No.0313055-Y)资助的项目. |
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| 摘 要： | 本文研究了带有变量核的奇异积分与分数次积分算子.当核函数满足一类Dini型条件时,证明了 这类算子从Herz型Hardy空间到Herz空间的有界性.
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| 关 键 词： | 变量核 奇异积分 分数次积分 Dini条件 Herz空间 Herz型Hardy空间 |
A CLASS OF INTEGRAL OPERATORS WITH VARIABLE KERNELS ON THE HERZ-TYPE HARDY SPACES |
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| ZHANG Pu CHEN Jiecheng Institute of Mathematics,Zhejiang University of Science,Hangzhou ,China. A CLASS OF INTEGRAL OPERATORS WITH VARIABLE KERNELS ON THE HERZ-TYPE HARDY SPACES[J]. Chinese Annals of Mathematics, 2004, 0(5) |
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| Authors: | ZHANG Pu CHEN Jiecheng Institute of Mathematics Zhejiang University of Science Hangzhou China |
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| Affiliation: | ZHANG Pu CHEN Jiecheng Institute of Mathematics,Zhejiang University of Science,Hangzhou 310018,China. Department of Mathematics,Zhejiang University,Hangzhou 310028,China. |
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| Abstract: | In this paper, the authors study the singular and fractional integrals with variable kernel. Under some assumptions, the authors prove that such kind of operators are bounded from the Herz-type Hardy spaces to the Herz spaces. |
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| Keywords: | Singular and fractional integral Variable kernel Dini-condition Herz space Herz-type Hardy space |
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