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arXiv · 0808.0832

Iterated Riesz Commutators: A Simple Proof of Boundedness

Michael T. Lacey·Stefanie Petermichl·Jill C. Pipher·Brett D. Wick
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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.

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Michael T. Lacey, Stefanie Petermichl, Jill C. Pipher, Brett D. Wick. 2008-08-06. Iterated Riesz Commutators: A Simple Proof of Boundedness. https://arxiv.org/abs/0808.0832

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