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非齐型空间上伴随Besov函数的高阶交换子的有界性

Boundedness of the high order commutators with Besov functions on the non-homogeneous spaces
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摘要 得到了m阶交换子[b,T]m及[b,Il]m在非齐型空间上的有界性,其中b∈.Λβp,q(Rd),T为Calderón-Zygmund算子,Il为分数次积分算子. The boundedness of the mth order commutators [b,Il]^m and [b, Il]^m is obtained, where b ∈∧β^p+q(Rd), T and Il denote the Calder6n-Zygmund operator and fractional integral operator respectively.
作者 曹薇 陶双平
出处 《西北师范大学学报(自然科学版)》 CAS 2007年第3期1-5,共5页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(10571014)
关键词 BESOV空间 非齐型空间 交换子 Calder6n—Zygmund算子 分数次积分算子 Besov space non-homogeneous space commutators Calderon-Zygmund operator fractional integral operator
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参考文献11

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二级参考文献1

  • 1DING Yong LU Shan Zhen Department of Mathematics,Beijing Normal University,Beijing 100875.P.R.China E-mail:dingy@bnu.edu.cn lusz@bnu.edu.cnZHANG Pu Department of Mathematics.Zhejiang University(at Xixi Campus).Hangzhou 310028,P.R.China,E-mail:zhpjj@263,net.Continuity of Higher Order Commutators on Certain Hardy Spaces[J].Acta Mathematica Sinica,English Series,2002,18(2):391-404. 被引量:21

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