Composition of Haar Paraproducts: The Random Case
arXiv:0803.0788 · doi:10.1007/s10476-009-0101-9
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.
13 pages. Submitted. v2: \showkeys commented out, with other minor changes