The Higher Integrability of Commutators of Calderon-Zygmund Singular Integral Operators on Differential Forms

被引：1
|
作者：
Niu, Jinling [1 ]
Xing, Yuming [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷
基金：
中国国家自然科学基金;
关键词：
HARMONIC EQUATIONS; STRATIFIED GROUPS; INEQUALITIES; THEOREMS; SPACES;
D O I：
10.1155/2018/1949747
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, the higher integrability of commutators of Calderon-Zygmund singular integral operators on differential forms is derived. Also, the higher order Poincare-type inequalities for the commutators acting on the solutions of Dirac-harmonic equations are obtained. Finally, some applications of the main results are demonstrated by examples.
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页数：9
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