107 citations · 699 across the 121 of their papers we have counts for
4 papers · 2 filters
Iterated Riesz Commutators: A Simple Proof of Boundedness
Michael T. Lacey, Stefanie Petermichl, Jill C. Pipher +1
We give a simple proof of L^p boundedness of iterated commutators of Riesz transforms and a product BMO function. We use a representation of the Riesz transforms by means of simple…
Toeplitz Corona Theorems for the Polydisk and the Unit Ball
Tavan T. Trent, Brett D. Wick
The main purpose of this paper is to extend and refine some work of Agler-McCarthy and Amar concerning the Corona problem for the polydisk and the unit ball in .
The Bass and Topological Stable Ranks of $H^\infty_\R(\D)$ and $A_\R(\D)$
Raymond Mortini, Brett D. Wick
In this note we prove that the Bass stable rank of $H^\infty_\R(\D)$ is two. This establishes the validity of a conjecture by S. Treil. We accomplish this in two different ways, on…
Composition of Haar Paraproducts: The Random Case
Dmitriy Bilyk, Michael Lacey, Xiaochun Li +1
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-we…