| The boundedness of multilinear operators of strongly singular integral operators on Hardy spaces |
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| 作者姓名： | Li Junfeng LU Shanzhen |
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| 作者单位： | Department of Mathematics, Beijing Normal University, Beijing 100875, China,Department of Mathematics, Beijing Normal University, Beijing 100875, China |
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| 基金项目： | 国家重点基础研究发展计划(973计划)，上海市教育发展基金 |
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| 摘 要： | We obtain the boundedness of multilinear operator (BMO) of strongly singular integral operator (~T)A on Lp spaces based on the relation between commutators and multilinear operators. It is found that (~T)A is an (H1, L1) type operator, while TA is not.
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| 关 键 词： | strongly singular integral operators multilinear operators BMO Hardy space |
The boundedness of multilinear operators of strongly singular integral operators on Hardy spaces |
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| Li Junfeng,LU Shanzhen.The boundedness of multilinear operators of strongly singular integral operators on Hardy spaces[J].Progress in Natural Science,2005,15(1):10-16. |
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| Authors: | LI Junfeng Lu Shanzhen |
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| Institution: | Department of Mathematics, Beijing Normal University, Beijing 100875, China |
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| Abstract: | We obtain the boundedness of multilinear operator (BMO) of strongly singular integral operator (~T)A on Lp spaces based on the relation between commutators and multilinear operators. It is found that (~T)A is an (H1, L1) type operator, while TA is not. |
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| Keywords: | strongly singular integral operators multilinear operators BMO Hardy space |
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