| Multilinear Singular and Fractional Integrals |
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| 作者姓名： | Yong DING Shan Zhen LU Kozo YABUTA |
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| 作者单位： | [1]School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China [2]School of Science and Technology, Kwansei Gakuin University, Gakuen 2-1, Sanda 669-1337, Japan |
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| 基金项目： | Supported by RFDP of China （Grant No. 20050027025）, NSF of China （Grant No. 10571014, 10571015） |
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| 摘 要： | In this paper, we treat a class of non-standard commutators with higher order remainders in the Lipschitz spaces and give （L^v, L^q）, （H^p, L^q） boundedness and the boundedness in the Triebel- Lizorkin spaces. Our results give simplified proofs of the recent works by Chen, and extend his result.
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| 关 键 词： | 换位子 多线性算子 积分 奇异性 Lp空间 |
| 收稿时间： | 2003-10-23 |
| 修稿时间： | 2003-10-232005-03-29 |
Multilinear Singular and Fractional Integrals |
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| Yong DING Shan Zhen LU Kozo YABUTA.Multilinear Singular and Fractional Integrals[J].Acta Mathematica Sinica,2006,22(2):347-356. |
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| Authors: | Yong Ding Shan Zhen Lu Kôzô Yabuta |
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| Institution: | (1) School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China;(2) School of Science and Technology, Kwansei Gakuin University, Gakuen 2–1, Sanda 669–1337, Japan |
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| Abstract: | In this paper, we treat a class of non–standard commutators with higher order remainders in the Lipschitz spaces and give
(Lp, Lq), (Hp, Lq) boundedness and the boundedness in the Triebel– Lizorkin spaces. Our results give simplified proofs of the recent works
by Chen, and extend his result.
Supported by RFDP of China (Grant No. 20050027025), NSF of China (Grant No. 10571014, 10571015) |
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| Keywords: | commutators multilinear operators singular and fractional integrals Lp spaces Hardy |
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