Two weight bump conditions for compactness of commutators

We prove two certain weight bump conditions are sufficient for the compactness of the commutator [ b ,  T ] where b ∈ C M O and T is a Calderón-Zygmund operator. This is the first result for compactness in the two weight setting without additional assumptions on the individual weights.

Saved in:
Bibliographic Details
Published in:Archiv der Mathematik 2023, Vol.120 (1), p.47-57
Main Authors: Mair, Adam, Moen, Kabe
Format: Article
Language:English
Subjects:
Commutators
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We prove two certain weight bump conditions are sufficient for the compactness of the commutator [ b ,  T ] where b ∈ C M O and T is a Calderón-Zygmund operator. This is the first result for compactness in the two weight setting without additional assumptions on the individual weights.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-022-01783-5