Commutators of Singular Integral Operators Related to Magnetic Schrdinger Operators

被引：0

作者：

Wanqing Ma ^{[1
]}

Yu Liu ^{[1
]}

机构：

[1] School of Mathematics and Physics,University of Science and Technology Beijing

来源：

Analysis in Theory and Applications | 2018年 / 34卷 / 01期

基金：

中央高校基本科研业务费专项资金资助; 中国国家自然科学基金;

关键词：

Commutator; Lipschitz space; the sharp maxical function; magnetic Schrdinger operator; Hlder inequality;

D O I：

暂无

中图分类号：

O177.6 [积分变换及算子演算];

学科分类号：

070104 ;

摘要：

Let A:=-(▽-ia（向量）)·(?-ia（向量）)+V be a magnetic Schrdinger operator on L;（R;）,n≥2,where a（向量）=（a;,···,a;）∈L;（R;,R;） and 0≤V∈L;（R;）.In this paper,we show that for a function b in Lipschitz space Lip;（R;） with α∈（0,1）,the commutator[b,V;A;] is bounded from L;（R;） to L;（R;）,where p,q∈(1,2] and 1/p-1/q =α/n.

引用

页码：45 / 56

页数：12

共 9 条

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