Iterated Riesz Commutators: A Simple Proof of Boundedness

Details Iterated Riesz Commutators: A Simple Proof of Boundedness Iterated Riesz Commutators: A Simple Proof of Boundedness

2008-08-06

arxiv.org/abs/0808.0832v1

Contemp. Math., 505, Amer. Math. Soc., Providence, RI, 2010, 171-178

Mathematics

Classical Analysis and ODEs

10 pages, submitted to Proceedings of El Escorial 2008

Scientific paper

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.

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