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Marcinkiewicz积分交换子与加权BMO函数
引用本文:何月香,王月山.Marcinkiewicz积分交换子与加权BMO函数[J].数学学报,2011(3):513-520.
作者姓名:何月香  王月山
作者单位:焦作大学基础科学系
摘    要:证明了若1
关 键 词:Marcinkiewicz积分  交换子  A_p权

Commutators of Marcinkiewicz Integrals and Weighted BMO
Yue Xiang HE Yue Shan WANG.Commutators of Marcinkiewicz Integrals and Weighted BMO[J].Acta Mathematica Sinica,2011(3):513-520.
Authors:Yue Xiang HE Yue Shan WANG
Institution:Yue Xiang HE Yue Shan WANG Department of Basic Science,Jiaozuo University,Jiaozuo 454003,P.R.China
Abstract:Let 1p weight,v=(αβ-1)1/pand b∈BMO(v).Weshow that the commutator of Marcinkiewicz integralμΩb is a bounded operator fromLp(α)into Lp(β).Here the kernelΩis a homogeneous function of degree zero withcancellation property and satisfies the logarithmic type Lipschitz condition.
Keywords:Marcinkiewicz integral  commutator  A_p weight
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