This article is cited in 1 paper

A Note on the Boundedness of Iterated Commutators of Multilinear Operators

Dinghuai Wang

School of Mathematics and Statistics, Anhui Normal University

Abstract: We show that the symbol function belonging to $BMO$ space is not a necessary condition for the boundedness of the iterated commutator acting on a product of Lebesgue spaces.

Keywords: BMO function, boundedness, commutator, Hardy–Littlewood maximal function, Lebesgue space.

UDC: 515.122.4

Received: 17.11.2021
Revised: 17.01.2022

DOI: 10.4213/mzm13605

 English version: Mathematical Notes, 2022, 112:1, 59–64

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