Dmitriy Bilyk, Michael Lacey, Xiaochun Li, Brett Wick
Published 2008-03-06Version 2
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.
Comments: 13 pages. Submitted. v2: \showkeys commented out, with other minor changes
Journal: Anal. Math. 35 (2009), no. 1, 1-13
A mapping defined by the Schur-Szegő composition
Composition of Dyadic Paraproducts
Boundedness of dyadic paraproducts on matrix weighted $L^p$
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