In this paper, we first establish the weighted compactness result for oscillation and variation associated with the truncated commutator of singular integral operators. Moreover, we establish a new CMO(Rn) characterization via the compactness of oscillation and variation of commutators on weighted Lebesgue spaces.
@article{arxiv.1904.09572,
title = {On the compactness of oscillation and variation of commutators},
author = {Weichao Guo and Yongming Wen and Huoxiong Wu and Dongyong Yang},
journal= {arXiv preprint arXiv:1904.09572},
year = {2019}
}