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University of Arkansas

Closed-Range Composition Operators on Weighted Bergman Spaces and Applications

Abstract

dc:description.abstract

<p>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. </p>

Degree

thesis:*
Name thesis:degree_name
Doctor of Philosophy in Mathematics (PhD)
Level thesis:degree_level
Dissertation
Year dc:date.available
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Fulmer, Shanda Renee
Advisor dc:contributor.advisor
  • Akeroyd, John R.
Contributors dc:contributor
  • Tjani, Maria
  • Luecking, Daniel H.

Subjects

dc:subject × 4

Identifiers

dc:identifier.*
Repository record dc:identifier
https://scholarworks.uark.edu/etd/2303
OAI identifier oai:identifier
oai:scholarworks.uark.edu:etd-3842

Chain of custody

source
Harvested from
University of Arkansas
Base URL
scholarworks.uark.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Fulmer, Shanda Renee. Closed-Range Composition Operators on Weighted Bergman Spaces and Applications. Dissertation thesis, 2014. https://scholarworks.uark.edu/etd/2303