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Bull. Korean Math. Soc. 2024; 61(6): 1705-1727

Online first article September 26, 2024      Printed November 30, 2024

https://doi.org/10.4134/BKMS.b240009

Copyright © The Korean Mathematical Society.

Regularity properties of higher order maximal commutators with Lipschitz symbols

Yuan Ma

Shandong University of Science and Technology

Abstract

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In the present paper we establish the boundedness and continuity of the higher order maximal commutators with Lipschitz symbols on the Sobolev spaces, Triebel--Lizorkin spaces and Besov spaces. More precisely, let $0\leq\alpha

Keywords: Higher order maximal commutators, boundedness and continuity, Lipschitz spaces, Sobolev spaces, Triebel--Lizorkin and Besov spaces

MSC numbers: Primary 42B20, 42B25

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