| 多线性Calder\'on-Zygmund算子的加权弱型端点估计及其应用 |
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| 引用本文： | 彭国强.多线性Calder\''on-Zygmund算子的加权弱型端点估计及其应用[J].数学研究及应用,2010,30(2):329-337. |
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| 作者姓名： | 彭国强 |
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| 作者单位： | 解放军信息工程大学信息工程学院应用数学系, 河南 郑州 450002 |
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| 基金项目： | 国家自然科学基金(Grant No.10671210). |
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| 摘 要： | A weighted weak type endpoint estimate is established for the m-linear operator with Calderón-Zygmund kernel, which was introduced by Coifman and Meyer. As applications, the mapping properties on weighted L^p1（Rn）×···×L^pm（Rn） with weight MBw for certain maximal operator MB and general weight w, and a two-weight weighted norm estimate for this operator, are obtained.
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| 关 键 词： | 端点估计 加权 应用 多线性 d算子 弱型 线性算子 范数估计 |
| 收稿时间： | 2007/11/23 0:00:00 |
| 修稿时间： | 2008/5/21 0:00:00 |
A Weighted Weak Type Endpoint Estimate for the Multilinear Calder\'on-Zygmund Operators and Its Applications |
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| Guo Qiang PENG.A Weighted Weak Type Endpoint Estimate for the Multilinear Calder\''on-Zygmund Operators and Its Applications[J].Journal of Mathematical Research with Applications,2010,30(2):329-337. |
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| Authors: | Guo Qiang PENG |
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| Institution: | Department of Applied Mathematics, Information Engineering University, Henan 450002, P. R. China |
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| Abstract: | A weighted weak type endpoint estimate is established for the $m$-linear operator with Calder\'on-Zygmund kernel, which was introduced by Coifman and Meyer. As applications, the mapping properties on weighted $L^{p_1}(\rn)\times\cdots\times L^{p_m}(\rn)$ with weight $M_Bw$ for certain maximal operator $M_B$ and general weight $w$, and a two-weight weighted norm estimate for this operator, are obtained. |
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| Keywords: | multilinear Calder\'on-Zygmund operator maximal operator weighted norm inequality interpolation |
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