English

Bump conditions for general iterated commutators with applications to compactness

Classical Analysis and ODEs 2022-10-25 v1

Abstract

We prove new sufficient bump conditions for general iterated commutators of Calder\'on-Zygmund operators and fractional integral operators. As an application of our results we derive two weight compactness theorems for higher order iterated commutators with a CMOCMO function.

Keywords

Cite

@article{arxiv.2210.13362,
  title  = {Bump conditions for general iterated commutators with applications to compactness},
  author = {Adam Mair and Kabe Moen and Yongming Wen},
  journal= {arXiv preprint arXiv:2210.13362},
  year   = {2022}
}
R2 v1 2026-06-28T04:22:34.990Z