28 citations · 58 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
Approximating z-bar in the Bergman space
Matthew Fleeman, Dmitry Khavinson
We consider the problem of finding the best approximation to in the Bergman Space . We show that this best approximation is the derivative of the solution to th…