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arxiv: 0808.0832 · v1 · submitted 2008-08-06 · 🧮 math.CA · math.FA

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Iterated Riesz Commutators: A Simple Proof of Boundedness

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classification 🧮 math.CA math.FA
keywords rieszsimpleboundednesscommutatorsdyadiciteratedprooftransforms
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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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