典型文献
Two New Lipschitz Type Spaces and Their Characterizations
文献摘要：
In this paper,we first introduce the weak Lipschitz spaces WLipq,α,1＜q＜∞,0＜α＜1 which are the analog of weak Lebesgue spaces Lq,∞ in the setting of Lipschitz space.We obtain the equivalence between the norm ‖·‖ Lipα and Ⅱ·ⅡWLipq,α As an application,we show that the commutator Mbβ is bounded from Lp to Lq,∞ for some p ∈(1,∞)and 1/p-1/q = α+β/n if and only if b is in Lipα.We also introduce the weak central bounded mean oscillation space WCBMOq,α and give a characterization of WCBMOq,α via the boundedness of the commutators of Hardy type operators.
文献关键词：
中图分类号：
作者姓名：
Ming Quan WEI;Dun Yan YAN
作者机构：
School of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,P.R.China;School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,P.R.China
文献出处：
引用格式：
[1]Ming Quan WEI;Dun Yan YAN-.Two New Lipschitz Type Spaces and Their Characterizations)[J].数学学报（英文版）,2022(09):1523-1536
A类：
WLipq,WCBMOq
B类：
Two,New,Lipschitz,Type,Spaces,Their,Characterizations,In,this,paper,first,introduce,weak,spaces,which,are,analog,Lebesgue,Lq,setting,We,obtain,equivalence,between,norm,application,show,that,Mb,from,Lp,some,if,only,also,central,mean,oscillation,give,characterization,via,boundedness,commutators,Hardy,type,operators
AB值：
0.532328
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