| 多线性分数次积分迭代型交换子的加权不等式 |
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| 引用本文： | 李文明,薛丽梅.多线性分数次积分迭代型交换子的加权不等式[J].数学学报,2012(5):881-894. |
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| 作者姓名： | 李文明 薛丽梅 |
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| 作者单位： | 河北师范大学数学与信息科学学院;石家庄经济学院数理学院 |
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| 基金项目： | 国家自然科学基金资助项目(10771049);河北省教育厅自然科学研究项目(Z2011110) |
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| 摘 要： | 研究了多线性分数次积分算子的迭代型交换子,给出了双权强型不等式的充分条件,即Fefferman -Phong型条件.对此迭代型交换子,还给出了Fefferman-Stein型加权不等式和Coifman型加权不等式.
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| 关 键 词： | 多线性分数次积分算子 迭代型交换子 加权不等式 |
Weighted Estimates for Iterated Commutators of Multilinear Fractional Integral Operators |
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| Wen Ming LI College of Mathematics and Information Science,Hebei Normal University, Shijiazhuang,P.R.China Li Mei XUE.Weighted Estimates for Iterated Commutators of Multilinear Fractional Integral Operators[J].Acta Mathematica Sinica,2012(5):881-894. |
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| Authors: | Wen Ming LI College of Mathematics and Information Science Hebei Normal University Shijiazhuang PRChina Li Mei XUE |
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| Institution: | School of Mathematics and Science,Shijiazhuang University of Economics, Shijiazhuang 050031,P.R.China |
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| Abstract: | For the iterated commutators of multilinear fractional integral operators, we give two-weight sufficient conditions for the strong boundedness,which is Fefferman Phong type condition.For these operators we also obtain Fefferman-Stein type weighted inequalities and Coifman type weighted estimates. |
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| Keywords: | multilinear fractional integral operator iterated commutator weighted estimate |
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