Characterizations of BMO through commutators of bilinear singular integral operators
Classical Analysis and ODEs
2014-12-11 v3
Abstract
In this paper we characterize BMO in terms of the boundedness of commutators of various bilinear singular integral operators with pointwise multiplication. In particular, we study commutators of a wide class of bilinear operators of convolution type, including bilinear Calder\'on-Zygmund operators and the bilinear fractional integral operators.
Keywords
Cite
@article{arxiv.1410.4587,
title = {Characterizations of BMO through commutators of bilinear singular integral operators},
author = {Lucas Chaffee},
journal= {arXiv preprint arXiv:1410.4587},
year = {2014}
}
Comments
7 pages, this version proves a more general main theorem which corrects a mistake in the previous version