A revisit on the compactness of commutators
Weichao Guo, Huoxiong Wu, Dongyong Yang
TL;DR
This paper introduces new characterizations of CMO(R^n) using local mean oscillation and explores novel properties of iterated compact commutators on weighted Lebesgue spaces, including first-order cases in unweighted settings.
Contribution
It provides new characterizations of CMO(R^n) and offers the first unweighted characterizations of iterated compact commutators.
Findings
New characterization of CMO(R^n) via local mean oscillation
First unweighted characterizations of iterated compact commutators
Enhanced understanding of commutator compactness properties
Abstract
A new characterization of CMO(R^n) is established by the local mean oscillation. 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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