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2021 Regularity of Commutators of Maximal Operators with Lipschitz Symbols
Feng Liu, Guoru Wang
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Taiwanese J. Math. Advance Publication 1-33 (2021). DOI: 10.11650/tjm/210301

Abstract

This paper is devoted to studying Sobolev regularity properties of commutators of Hardy–Littlewood maximal operator and its fractional case with Lipschitz symbols, both in the global and local case. Some new pointwise estimates for the weak gradients of the above commutators will be established. As applications, some bounds for the above commutators on the Sobolev spaces will be obtained.

Funding Statement

This work was supported partly by NNSF of China (No. 11701333).

Acknowledgments

The authors want to express their sincerely thanks to the referees for their valuable remarks and suggestions, which made this paper more readable.

Citation

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Feng Liu. Guoru Wang. "Regularity of Commutators of Maximal Operators with Lipschitz Symbols." Taiwanese J. Math. Advance Publication 1 - 33, 2021. https://doi.org/10.11650/tjm/210301

Information

Published: 2021
First available in Project Euclid: 24 March 2021

Digital Object Identifier: 10.11650/tjm/210301

Subjects:
Primary: 42B25, 46E35

Rights: Copyright © 2021 The Mathematical Society of the Republic of China

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