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.
","abstract_html":"<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>","abstract_has_math":false,"creators":["Fulmer, Shanda Renee"],"institution":null,"degree_name":"Doctor of Philosophy in Mathematics (PhD)","degree_level":"Dissertation","degree_discipline":null,"degree_department":null,"school":null,"contributors":["Tjani, Maria","Luecking, Daniel H."],"advisors":["Akeroyd, John R."],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-05-01T07:00:00Z","date_published":"2014-05-01T07:00:00Z","updated_at":"2026-07-24T00:59:15Z","subjects":["Closed-Range","Composition Operators","Weighted Bergman Spaces","Other Applied Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarworks.uark.edu/etd/2303","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Tjani, Maria","Luecking, Daniel H."]},{"key":"dc:contributor.advisor","label":"Advisor","values":["Akeroyd, John R."]},{"key":"dc:creator","label":"Author","values":["Fulmer, Shanda Renee"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2024-02-06T08:00:00Z"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy in Mathematics (PhD)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Closed-Range","Composition Operators","Weighted Bergman Spaces","Other Applied Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarworks.uark.edu/etd/2303"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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.
"]},{"key":"dc:title","label":"Title","values":["Closed-Range Composition Operators on Weighted Bergman Spaces and Applications"]}]}],"canonical_facts":{"dc:contributor":["Tjani, Maria","Luecking, Daniel H."],"dc:contributor.advisor":["Akeroyd, John R."],"dc:creator":["Fulmer, Shanda Renee"],"dc:date":["2014"],"dc:date.available":["2024-02-06T08:00:00Z"],"dc:description.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.
"],"dc:identifier":["https://scholarworks.uark.edu/etd/2303"],"dc:subject":["Closed-Range","Composition Operators","Weighted Bergman Spaces","Other Applied Mathematics"],"dc:title":["Closed-Range Composition Operators on Weighted Bergman Spaces and Applications"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy in Mathematics (PhD)"]},"updated_at":"2026-07-24T00:59:15Z"}