Composition of Haar Paraproducts: The Random Case

Details Composition of Haar Paraproducts: The Random Case Composition of Haar Paraproducts: The Random Case

2008-03-06

arxiv.org/abs/0803.0788v2

Anal. Math. 35 (2009), no. 1, 1-13

Mathematics

Classical Analysis and ODEs

13 pages. Submitted. v2: \showkeys commented out, with other minor changes

Scientific paper

10.1007/s10476-009-0101-9

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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