Abstract
We prove two certain weight bump conditions are sufficient for the compactness of the commutator [b, T] where \(b\in CMO\) 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.
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The second author is supported by Simons Collaboration Grant for Mathematicians, 160427. A version of this paper will serve as a chapter in the second author’s Ph.D. dissertation.
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Mair, A., Moen, K. Two weight bump conditions for compactness of commutators. Arch. Math. 120, 47–57 (2023). https://doi.org/10.1007/s00013-022-01783-5
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DOI: https://doi.org/10.1007/s00013-022-01783-5