Iterated Riesz Commutators: A Simple Proof of Boundedness
arXiv:0808.0832
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.
10 pages, submitted to Proceedings of El Escorial 2008