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

共 50 条

[1] Weighted variation inequalities for singular integrals and commutators
Wen, Yongming
Wu, Huoxiong
Zhang, Jing
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 485 (02)
[2] COMMUTATORS OF SINGULAR INTEGRALS AND BILINEAR SINGULAR INTEGRALS
COIFMAN, RR
MEYER, Y
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 212 (OCT) : 315 - 331
[3] WEIGHTED INEQUALITIES FOR COMMUTATORS OF ROUGH SINGULAR-INTEGRALS
HOFMANN, S
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1990, 39 (04) : 1275 - 1304
[4] COMMUTATORS OF SINGULAR INTEGRALS
CALDERON, CP
STUDIA MATHEMATICA, 1975, 53 (02) : 139 - 174
[5] COMMUTATORS OF SINGULAR INTEGRALS
FABES, EB
RIVIERE, NM
STUDIA MATHEMATICA, 1966, 27 (01) : 9 - &
[6] Two-weight inequalities for commutators of fractional integrals
Zhu, Ying
Fu, Xing
FILOMAT, 2024, 38 (10) : 3313 - 3328
[7] Endpoint estimates for certain commutators of fractional and singular integrals
Lu, SZ
Wu, Q
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (02) : 467 - 477
[8] On commutators of fractional integrals
Duong, XT
Yan, LX
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (12) : 3549 - 3557
[9] Oscillation and variation inequalities for the commutators of singular integrals with Lipschitz functions
Zhang, Jing
Wu, Huoxiong
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[10] Oscillation and variation inequalities for the commutators of singular integrals with Lipschitz functions
Jing Zhang
Huoxiong Wu
Journal of Inequalities and Applications, 2015

← 1 2 3 4 5 →