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New York Journal of Mathematics
Volume 27 (2021), 1524-1553

  

Feng Liu, Qingying Xue, and Pu Zhang

Regularity and continuity of commutators of multilinear maximal operators

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Published: November 5, 2021.
Keywords: Multilinear maximal operator, commutator, Sobolev space, Triebel--Lizorkin space, Besov space.
Subject: Primary 42B25; Secondary 46E35.

Abstract
This work is devoted to investigating the regularity and continuity properties for the commutators of multilinear maximal operators.

Acknowledgements

This research was supported by National Natural Science Foundation of China (Grant Nos. 11701333, 11871101, 11571160).


Author information

Feng Liu:
College of Mathematics and System Science
Shandong University of Science and Technology
Qingdao, Shangdong 266590, China

FLiu@sdust.edu.cn

Qingying Xue:
School of Mathematical Sciences
Beijing Normal University
Laboratory of Mathematics and Complex Systems of Ministry of Education
Beijing 100875, China

qyxue@bnu.edu.cn

Pu Zhang:
Department of Mathematics
Mudanjiang Normal University
Heilong-jiang 157011, China

puzhang@sohu.com