Two Weight Bump Conditions for Compactness of Commutators

preprint2022arXivOpen access

Abstract

We prove certain two weight bump conditions are sufficient for the compactness of the commutator [b,T][b,T] where b∈CMOb\in CMO and TT 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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