| Boundedness for Multilinear Commutators of Bochner-Riesz Operator |
| Received:July 22, 2010 Revised:November 20, 2010 |
| Key Words:
multilinear commutators Bochner-Riesz operator Lipschitz function BMO space.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10371087), Natural Science Foundation of Anhui Province (Grant No.07021019) and Education Committee of Anhui Province (Grant Nos.KJ2011A138; KJ2009B097; KJ2010B127). |
| Author Name | Affiliation | | Ru Long XIE | Department of Mathematics, Chaohu University, Anhui $238000$, P. R. China
Department of Mathematics, Anhui Normal University, Anhui $241000$, P. R. China | | Li Sheng SHU | Department of Mathematics, Anhui Normal University, Anhui $241000$, P. R. China | | Qian Xiang ZHANG | Department of Mathematics, Chaohu University, Anhui $238000$, P. R. China |
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| 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$({\Bbb R}^{n})$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.06.016 |
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