Date of Graduation

8-2016

Document Type

Dissertation

Degree Name

Doctor of Philosophy in Mathematics (PhD)

Degree Level

Graduate

Department

Mathematical Sciences

Advisor

John R. Akeroyd

Committee Member

Daniel H. Luecking

Second Committee Member

Maria Tjani

Keywords

Pure sciences, Closed-range, Compact, Composition operators, Weighted banach spaces

Abstract

Let $\phi$ be an analytic self-map of the unit disk $\mathbb{D}:=\{z:\lvert z\rvert

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