Date of Graduation

5-2014

Document Type

Dissertation

Degree Name

Doctor of Philosophy in Mathematics (PhD)

Degree Level

Graduate

Department

Mathematical Sciences

Advisor

John Akeroyd

Committee Member

Maria Tjani

Second Committee Member

Daniel Luecking

Keywords

Closed-Range, Composition Operators, Weighted Bergman Spaces

Abstract

We will discuss necessary and sufficient conditions for a Composition Operator to be closed range on the weighted Bergman spaces. The function phi is an analytic self map of the unit disk and our results extend those previously intended for the classical Bergman space. We will also give applications.

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