Boundedness for Multilinear Commutators of Bochner-Riesz Operator  

作　　者：Ru Long XIE Li Sheng SHU Qian Xiang ZHANG 

机构地区：[1]Department of Mathematics,Chaohu University,Anhui 238000,P.R.China [2]Department of Mathematics,Anhui Normal University,Anhui 241000,P.R.China

出　　处：《Journal of Mathematical Research and Exposition》2011年第6期1074-1080,共7页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10371087);Natural Science Foundation of Anhui Province (Grant No.07021019);Education Committee of Anhui Province (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）.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：multilinear commutators Bochner-Riesz operator Lipschitz function BMO space. 

分 类 号：O174.2[理学—数学] O231[理学—基础数学]