Date of Award
Summer 2024
Language
English
Embargo Period
8-1-2024
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
College/School/Department
Department of Mathematics and Statistics
Program
Mathematics
First Advisor
Hyun-Kyoung Kwon
Committee Members
Hyun-Kyoung Kwon, Rongwei Yang, Michael Stessin, Yunlong Feng, Martin Hildebrand
Keywords
Corona Theorem, Multiplier Algebra of the Dirichlet Space
Subject Categories
Analysis
Abstract
An analogue to Wolff's ideal problem for the multiplier algebra of the Dirichlet space, the main theorem provides sufficient conditions to classify membership of an arbitrary function in an infinitely generated ideal of the multiplier algebra.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Wittig, Alea, "A Corona Theorem for Multipliers on the Dirichlet Space" (2024). Electronic Theses & Dissertations (2024 - present). 34.
https://scholarsarchive.library.albany.edu/etd/34