Upper Bound for Multi-parameter Iterated Commutators
Classical Analysis and ODEs
2015-05-07 v3
Abstract
We show that the product BMO space can be characterized by iterated commutators of a large class of Calder\'on-Zygmund operators. This result follows from a new proof of boundedness of iterated commutators in terms of the BMO norm of their symbol functions, using Hyt\"onen's representation theorem of Calder\'on-Zygmund operators as averages of dyadic shifts. The proof introduces some new paraproducts which have BMO estimates.
Cite
@article{arxiv.1401.5994,
title = {Upper Bound for Multi-parameter Iterated Commutators},
author = {Laurent Dalenc and Yumeng Ou},
journal= {arXiv preprint arXiv:1401.5994},
year = {2015}
}
Comments
25 pages