A revisit on the compactness of commutators

A new characterization of $\text {CMO}(\mathbb R^n)$ is established replying upon local mean oscillations. Some characterizations of iterated compact commutators on weighted Lebesgue spaces are given, which are new even in the unweighted setting for the first order commutators.

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Bibliographic Details
Published inCanadian journal of mathematics Vol. 73; no. 6; pp. 1667 - 1697
Main Authors Guo, Weichao, Wu, Huoxiong, Yang, Dongyong
Format Journal Article
LanguageEnglish
Published Canada Canadian Mathematical Society 01.12.2021
Cambridge University Press
Subjects
Commutators
Mathematical functions
commutator
42B25
42B20
Compactness
CMO ℝn
singular integral
fractional integral
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Summary:A new characterization of $\text {CMO}(\mathbb R^n)$ is established replying upon local mean oscillations. Some characterizations of iterated compact commutators on weighted Lebesgue spaces are given, which are new even in the unweighted setting for the first order commutators.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0008-414X
1496-4279
DOI:10.4153/S0008414X20000644