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| Bochner-Riesz算子的多线性交换子的有界性 | |
| 引用本文： | 谢如龙,束立生,张谦祥. Bochner-Riesz算子的多线性交换子的有界性[J]. 数学研究及应用, 2011, 31(6): 1074-1080 |
| 作者姓名： | 谢如龙 束立生 张谦祥 |
| 作者单位： | 巢湖学院数学系, 安徽 巢湖 238000;巢湖学院数学系, 安徽 巢湖 238000;巢湖学院数学系, 安徽 巢湖 238000 |
| 基金项目： | 国家自然科学基金(Grant No.10371087), 安徽省自然科学基金(Grant No.07021019),安徽省教育厅基金(Grant Nos.KJ2011A138; KJ2009B097; KJ2010B127). |
| 摘 要： | In this paper,the boundedness for the multilinear commutators of Bochner-Riesz operator is considered.We prove that the multilinear commutators generated by Bochner-Riesz operator and Lipschitz function are bounded from Lp（Rn）into ∧˙（β-np）（Rn）and from Lnβ（Rn）into BMO（Rn）. |
| 关 键 词： | Riesz基 多线性 有界性 整流器 Lipschitz 函数生成 管理条例 换向器 |
| 收稿时间： | 2010-07-22 |
| 修稿时间： | 2010-11-20 |
Boundedness for Multilinear Commutators of Bochner-Riesz Operator |
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| Ru Long XIE,Li Sheng SHU and Qian Xiang ZHANG. Boundedness for Multilinear Commutators of Bochner-Riesz Operator[J]. Journal of Mathematical Research with Applications, 2011, 31(6): 1074-1080 | |
| Authors: | Ru Long XIE Li Sheng SHU Qian Xiang ZHANG |
| Affiliation: | 1. Department of Mathematics, Chaohu University, Anhui 238000, P. R. China;Department of Mathematics, Anhui Normal University, Anhui 241000, P. R. China 2. Department of Mathematics, Anhui Normal University, Anhui 241000, P. R. China 3. Department of Mathematics, Chaohu University, Anhui 238000, P. R. China |
| Abstract: | In this paper, the boundedness for the multilinear commutators of Bochner-Riesz operator is considered. We prove that the multilinear commutators generated by Bochner-Riesz operator and Lipschitz function are bounded from $L^{p}({Bbb R}^{n})$ into $dot{wedge}_{(beta-frac{n}{p})}({Bbb R}^{n})$ and from $L^{frac{n}{beta}}({Bbb R}^{n})$ into BMO$({Bbb R}^{n})$. |
| Keywords: | multilinear commutators Bochner-Riesz operator Lipschitz function BMO space. |
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