Iterated Riesz Commutators: A Simple Proof of Boundedness
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🧮 math.CA
math.FA
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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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