A NOTE ON THE FIRST ORDER COMMUTATOR C2

被引：0
|
作者：
Li, Wenjuan [1 ]
Liu, Suying [1 ]
机构：
[1] Northwest Polytech Univ, Sch Sci, Xian 710072, Shaanxi, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 04期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
the first order commutator C-2; counterexample; abstract weighted Hardy space; atom; boundedness; SINGULAR-INTEGRALS; OPERATORS;
D O I：
10.4134/BKMS.b180646
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper gives a counterexample to show that the first order commutator C-2 is not bounded from H-1(R) x H-1(R) into L-1/2(R). Then we introduce the atomic definition of abstract weighted Hardy spaces H-ato,omega(1)(R) and study its properties. At last, we prove that C-2 maps H-ato,w(1)(R) x H-ato,w(1)(R) into L-omega(1/2)(R).
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页码：885 / 898
页数：14
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