Commutators of multilinear Calderón–Zygmund operators with Dini type kernels on some function spaces

Volume 10, Issue 9, pp 5002--5019 http://dx.doi.org/10.22436/jnsa.010.09.38

Publication Date: September 23, 2017 Submission Date: June 19, 2017

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Authors

Jie Sun - Department of Mathematics, Mudanjiang Normal University, Mudanjiang, Heilongjiang 157011, P. R. China. Pu Zhang - Department of Mathematics, Mudanjiang Normal University, Mudanjiang, Heilongjiang 157011, P. R. China.

Abstract

In this paper, we establish some new boundedness for commutators of multilinear Calderón-Zygmund operators with kernels of type \(\omega\) from product of Lebesgue spaces into Lebesgue spaces, Lipschitz spaces, and Triebel-Lizorkin spaces, which extend some previous results.

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Keywords

• Calderón-Zygmund operator
• commutator
• Lipschitz space
• Triebel-Lizorkin space

MSC

•  42B20
•  42B25

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