Date of Graduation
5-2014
Document Type
Dissertation
Degree Name
Doctor of Philosophy in Mathematics (PhD)
Degree Level
Graduate
Department
Mathematical Sciences
Advisor/Mentor
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.
Citation
Fulmer, S. R. (2014). Closed-Range Composition Operators on Weighted Bergman Spaces and Applications. Graduate Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/2303