107 citations · 699 across the 121 of their papers we have counts for
8 papers · 1 filter
Thin Sequences and Their Role in Theory, Model Spaces, and Uniform Algebras
Pamela Gorkin, Sandra Pott, Brett D. Wick
In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives: uniform algebras, model spaces, and spaces. We extend the not…
Two Weight Inequalities for Riesz Transforms: Uniformly Full Dimension Weights
Michael T. Lacey, Brett D. Wick
Fix an integer and number , , and two weights and on . We two extra conditions (1) no common point masses and (2) the two w…
Two Weight Inequalities for the Cauchy Transform from to
Michael T. Lacey, Eric T. Sawyer, Chun-Yen Shen +2
We characterize those pairs of weights on and on for which the Cauchy transform $\mathsf{C}_σ f (z) \equiv \int_{\mathbb{R}} \frac {f(x)} {x…
Composition of Dyadic Paraproducts
Sandra Pott, Maria Carmen Reguera, Eric T. Sawyer +1
We obtain necessary and sufficient conditions to characterize the boundedness of the composition of dyadic paraproduct operators.
The Linear Bound for the Natural Weighted Resolution of the Haar Shift
Sandra Pott, Maria Carmen Reguera, Eric T. Sawyer +1
The Hilbert transform has a linear bound in the characteristic on weighted , \begin{equation*} \left\Vert H\right\Vert _{L^{2}(w)\rightarrow L^{2}(w)}\lesssim \left[…
On the uniqueness sets in the Fock space
Mishko Mitkovski, Brett D. Wick
It was known to von Neumann in the 1950's that the integer lattice forms a uniqueness set for the Bargmann-Fock space. It was later demonstrated by Seip and Wallstén…