Weighted boundedness of commutators of maximal operators with rough kernels
Author(s): YANG Mei-jin, CHEN Jian-ren
Pages: 339-344
Year: 2012 Issue: 3
Journal: Journal of Natural Science of Heilongjiang University
Keyword: 粗糙核; 分数次极大算子; 交换子; A(p; q)权;
Abstract: 对粗糙核分数次极大算子与BMO函数生成的m阶(m∈Z+)交换子MmΩ,α,bMmΩ,α,bf(x)=supr＞01/(rn-α)∫｜x-y｜＜r|Ω(x-y)||b(x)-b(y)|m|f(y)| dy证明如下结论:若0＜α＜n,1＜p＜n/α,1/q=(1/p)-(n/α),Ω∈Ls(Sn-1),s＞1,b∈BMO(Rn),且m∈Z+,如果p,q,s,ω满足下述条件之一,那么存在与f无关的常数C...
Pages: 339-344
Year: 2012 Issue: 3
Journal: Journal of Natural Science of Heilongjiang University
Keyword: 粗糙核; 分数次极大算子; 交换子; A(p; q)权;
Abstract: 对粗糙核分数次极大算子与BMO函数生成的m阶(m∈Z+)交换子MmΩ,α,bMmΩ,α,bf(x)=supr＞01/(rn-α)∫｜x-y｜＜r|Ω(x-y)||b(x)-b(y)|m|f(y)| dy证明如下结论:若0＜α＜n,1＜p＜n/α,1/q=(1/p)-(n/α),Ω∈Ls(Sn-1),s＞1,b∈BMO(Rn),且m∈Z+,如果p,q,s,ω满足下述条件之一,那么存在与f无关的常数C...
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