7 papers
On the concept of inner function in Hardy and Bergman spaces in multiply connected domains
Catherine Bénéteau, Matthew Fleeman, Dmitry Khavinson +1
We discuss the notion of an inner function for spaces of analytic functions in multiply connected domains in , giving a historical overview and comparing several possib…
Hyponormal Toeplitz operators with non-harmonic symbol acting on the Bergman space
Matthew Fleeman, Constanze Liaw
The Toeplitz operator acting on the Bergman space , with symbol is given by , where is the projection from onto the Bergm…
Remarks on Inner Functions and Optimal Approximants
Catherine Bénéteau, Matthew Fleeman, Dmitry Khavinson +2
We discuss the concept of inner function in reproducing kernel Hilbert spaces with an orthogonal basis of monomials and examine connections between inner functions and optimal poly…
Boundary Conditions associated with the General Left-Definite Theory for Differential Operators
Matthew Fleeman, Dale Frymark, Constanze Liaw
In the early 2000's, Littlejohn and Wellman developed a general left-definite theory for certain self-adjoint operators by fully determining their domains and spectral properties.…
Torsional Rigidity and Bergman Analytic Content of Simply Connected Regions
Matthew Fleeman, Brian Simanek
We exploit the equality of Bergman analytic content and torsional rigidity of a simply connected domain to develop a new method for calculating these quantities. This method is par…
The Bergman analytic content of planar domains
Matthew Fleeman, Erik Lundberg
Given a planar domain , the Bergman analytic content measures the -distance between and the Bergman space . We compute the Bergman analytic content…