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 fr...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).展开更多
基金Supported by the National Natural Science Foundation of China (Grant No.10371087)Natural Science Foundation of Anhui Province (Grant No.07021019)+2 种基金Education Committee of Anhui Province (Grant Nos.KJ2011A138 KJ2009B097 KJ2010B127)
文摘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).