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Boundary Behavior Of Analytic Functions And Approximation Theory, Spyros Pasias
Boundary Behavior Of Analytic Functions And Approximation Theory, Spyros Pasias
USF Tampa Graduate Theses and Dissertations
In this Thesis we deal with problems regarding boundary behavior of analytic functions and approximation theory. We will begin by characterizing the set in which Blaschke products fail to have radial limits but have unrestricted limits on its complement. We will then proceed and solve several cases of an open problem posed in \cite{Da}. The goal of the problem is to unify two known theorems to create a stronger theorem; in particular we want to find necessary and sufficient conditions on sets $E_1\subset E_2$ of the unit circle such that there exists a bounded analytic function that fails to have …