θ-型Calderón-Zygmund算子与Lipschitz函数生成的交换子的有界性  

Boundedness of Commutators with θ-Type Calderón-Zygmund Operators and Lipschitz Function

作　　者：朱晓矇 

机构地区：[1]牡丹江师范学院,黑龙江 牡丹江

出　　处：《理论数学》2022年第1期54-61,共8页Pure Mathematics

摘　　要：本文研究了θ-型Calderón-Zygmund算子与Lipschitz函数b∈Λγ·(Rn)生成的交换子,当θ满足一类Dini条件时,证明了交换子在γ=β+n/p时是从Lebesgue空间Lp(Rn)到Campanato空间Cp,β(Rn)有界的。In this paper, we consider the boundedness of commutators with θ-type Calderón-Zygmund Operators and Lipschitz Function b∈Λγ·(Rn). When θ satisfies a class of Dini type conditions, it is proved that commutators are bounded from Lebesgue spaces Lp(Rn) to Campanato spaces Cp,β(Rn) when γ=β+n/p.

关 键 词：θ-型Calderón-Zygmund算子 交换子 LIPSCHITZ空间 CAMPANATO空间 

分 类 号：O177[理学—数学]