107 citations · 699 across the 121 of their papers we have counts for
7 papers · 1 filter
Bergman-type Singular Integral Operators on Metric Spaces
Alexander Volberg, Brett D. Wick
In this paper we study ``Bergman-type'' singular integral operators on Ahlfors regular metric spaces. The main result of the paper demonstrates that if a singular integral operator…
Duality, Tangential Interpolation, and Toeplitz Corona Problems
Mrinal Raghupathi, Brett D. Wick
In this paper we extend a method of Arveson and McCullough to prove a tangential interpolation theorem for subalgebras of . This tangential interpolation result implies a…
Bergman-type Singular Operators and the Characterization of Carleson Measures for Besov--Sobolev Spaces on the Complex Ball
Alexander Volberg, Brett D. Wick
The purposes of this paper are two fold. First, we extend the method of non-homogeneous harmonic analysis of Nazarov, Treil and Volberg to handle "Bergman--type" singular integral…
Topological Stable Rank of for Circular Domains
Raymond Mortini, Rudolf Rupp, Amol Sasane +1
Let be a circular domain, that is, an open disk with finitely many closed disjoint disks removed. Denote by the Banach algebra of all bounded holomorphic function…
Spectral Characteristics and Stable Ranks for the Sarason Algebra
Raymond Mortini, Brett D. Wick
We prove a Corona type theorem with bounds for the Sarason algebra and determine its spectral characteristics. We also determine the Bass, the dense, and the topologic…
BMO Estimates for the Corona Problem
Serban Costea, Eric T. Sawyer, Brett D. Wick
We study the Corona problem and show it is always possible to find solutions that belong to for…