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Applied Mathematics

University of Arkansas, Fayetteville

Theses/Dissertations

Closed-Range

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Closed-Range Composition Operators On Weighted Bergman Spaces And Applications, Shanda Renee Fulmer May 2014

Closed-Range Composition Operators On Weighted Bergman Spaces And Applications, Shanda Renee Fulmer

Graduate Theses and Dissertations

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.