Iterated Riesz Commutators: A Simple Proof of Boundedness
Classical Analysis and ODEs
2010-10-19 v1 Functional Analysis
Abstract
We give a simple proof of L^p boundedness of iterated commutators of Riesz transforms and a product BMO function. We use a representation of the Riesz transforms by means of simple dyadic operators - dyadic shifts - which in turn reduces the estimate quickly to paraproduct estimates.
Cite
@article{arxiv.0808.0832,
title = {Iterated Riesz Commutators: A Simple Proof of Boundedness},
author = {Michael T. Lacey and Stefanie Petermichl and Jill C. Pipher and Brett D. Wick},
journal= {arXiv preprint arXiv:0808.0832},
year = {2010}
}
Comments
10 pages, submitted to Proceedings of El Escorial 2008