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arxiv: 0803.0788 · v2 · pith:6KVPLPHOnew · submitted 2008-03-06 · 🧮 math.CA

Composition of Haar Paraproducts: The Random Case

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keywords compositionparaproductsquestionboundedcasecharacterizationsconsiderdifficult
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When is the composition of paraproducts bounded? This is an important, and difficult question, related to to a question of Sarason on composition of Hankel matrices, and the two-weight problem for the Hilbert transform. We consider randomized variants of this question, finding non-classical characterizations, for dyadic paraproducts.

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