INEQUALITIES FOR COMMUTATORS OF FRACTIONAL INTEGRALS AND SINGULAR INTEGRALS ON DIFFERENTIAL FORMS

被引：0
|
作者：
Niu, Jinling [1 ]
Shi, Guannan [2 ]
Ding, Shusen [3 ]
Xing, Yuming [4 ]
机构：
[1] Changshu Inst Technol, Dept Math & Stat, Changshu 215500, Peoples R China
[2] Northeast Petr Univ, Sch Math & Stat, Daqing 163318, Peoples R China
[3] Seattle Univ, Dept Math, Seattle, WA 98122 USA
[4] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 02期
关键词：
and phrases; Commutators; BMO spaces; singular integrals; differential forms; norm in-equalities; CACCIOPPOLI INEQUALITIES; HARMONIC EQUATIONS; THEOREMS; SPACES;
D O I：
10.7153/jmi-2023-17-28
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define the commutators of fractional integral operators and Calderon-Zygmund singular integral operators on differential forms, and give the sufficient and necessary conditions for these commutators to be bounded on weighted Lebesgue spaces. As an applica-tion, the Caccioppoli-type inequalities with Orlicz norm for commutators of Calderon-Zygmund singular integral operators on differential forms are obtained.
引用
收藏
页码：419 / 434
页数：16
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