English

Two Weight Bump Conditions for Compactness of Commutators

Classical Analysis and ODEs 2022-08-23 v1

Abstract

We prove certain two weight bump conditions are sufficient for the compactness of the commutator [b,T][b,T] where bCMOb\in CMO and TT is a Calder\'on- Zygmund operator. This is the first result for compactness in the two weight setting without additional assumptions on the individual weights.

Keywords

Cite

@article{arxiv.2208.10311,
  title  = {Two Weight Bump Conditions for Compactness of Commutators},
  author = {Adam Mair and Kabe Moen},
  journal= {arXiv preprint arXiv:2208.10311},
  year   = {2022}
}