In this paper, we establish a new characterization of weighted VMO spaces, which are essential different from the classical VMO spaces, via the compactness of sparse operators, commutators of Riesz potentials and fractional maximal operators. Some of our results are new even in unweighted setting.
@article{arxiv.2205.14901,
title = {Compactness of commutators in the Bloom setting: the off-diagonal case},
author = {Yongming Wen},
journal= {arXiv preprint arXiv:2205.14901},
year = {2022}
}