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arXiv · 0803.0788

Composition of Haar Paraproducts: The Random Case

Dmitriy Bilyk·Michael Lacey·Xiaochun Li·Brett Wick
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Abstract

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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Dmitriy Bilyk, Michael Lacey, Xiaochun Li, Brett Wick. 2008-03-06. Composition of Haar Paraproducts: The Random Case. https://doi.org/10.1007/s10476-009-0101-9

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