Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
Classical Analysis and ODEs
2020-08-13 v3
Abstract
We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings. Our approach elaborates on a commonly used Cauchy integral trick, recovering many known results but yielding also numerous new ones.
Cite
@article{arxiv.1710.08515,
title = {Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach},
author = {Árpád Bényi and José María Martell and Kabe Moen and Eric Stachura and Rodolfo H. Torres},
journal= {arXiv preprint arXiv:1710.08515},
year = {2020}
}
Comments
v3: addition of appendix which includes quantitative weighted estimates for commutators of the bilinear Hilbert transform