107 citations · 699 across the 121 of their papers we have counts for
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Function Spaces Related to the Dirichlet Space
Nicola Arcozzi, Richard Rochberg, Eric Sawyer +1
We present results about spaces of holomorphic functions associated to the classical Dirichlet space. The spaces we consider have roles similar to the roles of and in…
Bilinear Forms on the Dirichlet Space
Nicola Arcozzi, Richard Rochberg, Eric Sawyer +1
Let be the classical Dirichlet space, the Hilbert space of holomorphic functions on the disk. Given a holomorphic symbol function we define the associated Hankel…
The Corona Theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in
Serban Costea, Eric T. Sawyer, Brett D. Wick
We prove that the multiplier algebra of the Drury-Arveson Hardy space on the unit ball in has no corona in its maximal ideal space, thus generalizing t…
Simultaneous Stabilization in
Raymond Mortini, Brett D. Wick
In this note we study the problem of simultaneous stabilization for the algebra $A_\R(\D)$. Invertible pairs , , in a commutative unital algebra are called \…
Stabilization in
Brett D. Wick
In this paper we prove the following theorem: Suppose that $f_1,f_2\in H^\infty_\R(\D)$, with $\norm{f_1}_\infty,\norm{f_2}_{\infty}\leq 1$, with $$ \inf_{z\in\D}(\abs{f_1(z)}+\abs…
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…