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

Jinling Niu; Yuming Xing

doi:10.1155/2018/1949747

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

Jinling Niu
, Yuming Xing^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this article, the higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms is derived. Also, the higher order Poincaré-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.

Original language	English
Article number	1949747
Journal	Journal of Function Spaces
Volume	2018
DOIs	https://doi.org/10.1155/2018/1949747
State	Published - 2018

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@article{67d858dfd3f6489b84a0649a2c543979,

title = "The Higher Integrability of Commutators of Calder{\'o}n-Zygmund Singular Integral Operators on Differential Forms",

abstract = "In this article, the higher integrability of commutators of Calder{\'o}n-Zygmund singular integral operators on differential forms is derived. Also, the higher order Poincar{\'e}-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.",

author = "Jinling Niu and Yuming Xing",

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year = "2018",

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AU - Niu, Jinling

AU - Xing, Yuming

PY - 2018

Y1 - 2018

N2 - In this article, the higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms is derived. Also, the higher order Poincaré-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.

AB - In this article, the higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms is derived. Also, the higher order Poincaré-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.

UR - https://www.scopus.com/pages/publications/85057137278

U2 - 10.1155/2018/1949747

DO - 10.1155/2018/1949747

M3 - 文章

AN - SCOPUS:85057137278

SN - 2314-8896

VL - 2018

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 1949747

ER -

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

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