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

页码：419 / 434

页数：16

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