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math.CV2013★ 1 cited
Solution of Extremal Problems in Bergman Spaces Using the Bergman Projection
Timothy Ferguson
In this paper we discuss the explicit solution of certain extremal problems in Bergman spaces. In order to do this, we develop methods to calculate the Bergman projections of vario…
math.CV2013
Extremal Problems in Bergman Spaces and an Extension of Ryabykh's Theorem
Timothy Ferguson
We study linear extremal problems in the Bergman space of the unit disc for an even integer. Given a functional on the dual space of with representing kernel $k \in…
math.CV2013
Continuity of Extremal Elements in Uniformly Convex Spaces
Timothy Ferguson
In this paper, we study the problem of finding the extremal element for a linear functional over a uniformly convex Banach space. We show that a unique extremal element exists and…