| 弱Hardy空间上多线性分数次积分算子的有界性 |
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| 引用本文： | 兰家诚.弱Hardy空间上多线性分数次积分算子的有界性[J].数学杂志,2006,26(3):343-348. |
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| 作者姓名： | 兰家诚 |
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| 作者单位： | 丽水学院数学系,浙江丽水,323000 |
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| 基金项目： | 浙江省自然科学基金资助项目(M103069)，浙江省教育厅科研资助项目(20021022) |
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| 摘 要： | 本文研究了弱Hardy空间上多线性分数次积分算子和相应的多线性分数次极大算子的有界性,利用多线性分数次积分转化为相对应的分数次积分的方法,得到算子TΩ,α,A和MΩ,α,A的弱型估计.
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| 关 键 词： | 多线性分数次积分 ∧.β(Rn) 弱Hardy空间 |
| 文章编号： | 0255-7797（2006）03-0343-06 |
| 收稿时间： | 2004-04-19 |
| 修稿时间： | 2004-04-19 |
THE BOUNDEDNESS OF MULTILINEAR FRACTIONAL INTEGRAL OPERATORS ON WEAK TYPE HARDY SPACES |
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| LAN Jia-cheng.THE BOUNDEDNESS OF MULTILINEAR FRACTIONAL INTEGRAL OPERATORS ON WEAK TYPE HARDY SPACES[J].Journal of Mathematics,2006,26(3):343-348. |
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| Authors: | LAN Jia-cheng |
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| Institution: | Dept. of Math. , Lishui University, Lishui 323000, China |
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| Abstract: | In this paper,the author study the boundedness for a class of rough multilinear fractional intagral and the maximal operator.It is obtained that these operators are both bounded on weak type Hardy spaces.A simple way is obtained that is colsely linked with a class of fractoinal integral operator. |
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