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Boundedness for Multilinear Commutators of Bochner-Riesz Operator 被引量:2

Boundedness for Multilinear Commutators of Bochner-Riesz Operator
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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).
出处 《Journal of Mathematical Research and Exposition》 CSCD 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)
关键词 multilinear commutators Bochner-Riesz operator Lipschitz function BMO space. multilinear commutators Bochner-Riesz operator Lipschitz function BMO space.
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