Composition of Haar Paraproducts: The Random Case
Classical Analysis and ODEs
2012-05-22 v2
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.
Cite
@article{arxiv.0803.0788,
title = {Composition of Haar Paraproducts: The Random Case},
author = {Dmitriy Bilyk and Michael Lacey and Xiaochun Li and Brett Wick},
journal= {arXiv preprint arXiv:0803.0788},
year = {2012}
}
Comments
13 pages. Submitted. v2: \showkeys commented out, with other minor changes