| BOUNDEDNESS AND COMPACTNESS FOR THE COMMUTATOR OF THE ω-TYPE CALDERóN-ZYGMUND OPERATOR ON LORENTZ SPACE |
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| 作者姓名： | 陶祥兴 曾媛 喻晓 |
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| 作者单位： | 1. Department of Mathematics, Zhejiang University of Science and Technology;2. Department of Mathematics, Shangrao Normal University |
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| 基金项目： | supported by the NNSF of China (12271483, 11961056);;the NSF of Jiangxi Province (20192BAB201004); |
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| 摘 要： | In this paper,the authors consider the ω-type Calderón-Zygmund operator Tω and the commutator [b,Tω] generated by a symbol function b on the Lorentz space Lp,r(X)over the homogeneous space(X,d,μ).The boundedness and the compactness of the commutator [b,Tω] on Lorentz space Lp,r(X) are founded for any p ∈(1,∞) and r ∈ [1,∞).
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