Dissertation Defense Announcement

The College of Arts and Sciences announces the final Dissertation of

Aaron Taylor

for the degree of Doctor of Philosophy

August 19, 2016 at 2:00 pm in 225, Dunn Hall

Major Advisor: Fernanda Botelho, PhD

Classes of Operators on Bloch Spaces

ABSTRACT: In this dissertation the following questions will be addressed: (1) Defining a class functional spaces in a similar method as the Bloch and Zygmund spaces, what are some general properties of these new functional spaces. What are some basic geometric properties of the set of isometries in a subspace of this class of functional spaces. (2) How can multi-circular projections be constructed using the previously mentioned isometries and what are some properties of these projections. (3) What are some properties of functions within these spaces composed with operators. And what are some properties and constrictions of these composition operators.