Boundedness of High Order Commutators of Riesz Transforms Associated with Schr?dinger Type Operators

被引：0
|
作者：
Yueshan Wang [1 ]
机构：
[1] Department of Mathematics, Jiaozuo University
来源：
Analysis in Theory and Applications | 2020年 / 36卷 / 01期
关键词：
Schr?dinger operator; Campanato space; Riesz transform; commutator;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
Let L;=（-?）;+ V;be the Schr?dinger type operator, where V■0 is a nonnegative potential and belongs to the reverse H?lder class RH;for q;> n/2, n ≥5. The higher Riesz transform associated with L;is denoted by ■and its dual is denoted by ■. In this paper, we consider the m-order commutators [b;, R] and [b;, R*], and establish the（L;, L;）-boundedness of these commutators when b belongs to the new Campanato space Λ;（ρ） and 1/q = 1/p-mβ/n.
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页码：99 / 110
页数：12
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