Two Weighted BMO Estimates for the Maximal Bochner-Riesz Commutator  

作　　者：Dan Zou Xiaoli Chen Dongxiang Chen 

机构地区：[1]Department of Mathematics, Jiangxi Normal University

出　　处：《Analysis in Theory and Applications》2013年第2期120-127,共8页分析理论与应用（英文刊）

基　　金：supported by the NNSF (10961015, 11261023) of China;the Jiangxi Natural Science Foundation of China (20122BAB201011), GJJ12203

摘　　要：In this note, the author prove that maximal Bocher-Riesz commutator Bδ,＊^b generated by operator Bδ,＊ and function b∈ BMO（ω） is a bounded operator from L^p（μ） into L^p（ν）, where w∈ （μν^- 1）^1/p,μ,v ∈ Ap for 1 〈 p 〈 ∞. The proof relies heavily on the pointwise estimates for the sharp maximal function of the commutator Bδ,＊^b.In this note, the author prove that maximal Bocher-Riesz commutator Bδ,＊^b generated by operator Bδ,＊ and function b∈ BMO（ω） is a bounded operator from L^p（μ） into L^p（ν）, where w∈ （μν^- 1）^1/p,μ,v ∈ Ap for 1 〈 p 〈 ∞. The proof relies heavily on the pointwise estimates for the sharp maximal function of the commutator Bδ,＊^b.

关 键 词：Bocher-Riesz operator COMMUTATOR weighted BMO（ω） space. 

分 类 号：O177[理学—数学]