# Browsing by Author "Kwon, Hyun-Kyoung"

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• (University of Alabama Libraries, 2014)
In this dissertation, we will take an effective approach to prove the Hilbert's Nullstellensatz in a special case where we have univariate polynomials $f_{i}(z)'s$ for $i\in\{1,2,...,m\}$. This approach will explicitly ...
• (University of Alabama Libraries, 2016)
In 2014, Banjade and Trent proved an analog of Wolff's theorem for the multiplier algebra of the Dirichlet space, which gives conditions for the cube of a function to be in a generated ideal. This dissertation investigates ...
• (University of Alabama Libraries, 2016)
In this dissertation, we attempt to characterize the boundedness of two operators over certain spaces of functions. The operators in question, the harmonic maximal operator and the geometric maximal operator, arise naturally ...
• (University of Alabama Libraries, 2018)
We consider sparse regression techniques as tools for classification of sentiment within Twitter posts. Analysis of Twitter usage suffers from several unique challenges. For example, the 140-character limit severely limits ...
• (University of Alabama Libraries, 2017)
This dissertation is the union of two major results that we discovered during my graduate time. Both of the results involve what are called sparse families of cubes. There will also be some partial results included though ...
• (University of Alabama Libraries, 2014)
In an effort to classify ideal membership for finitely-generated ideals in H<super>&infin</super> (D), Wolff [G] proved that: If {f <sub>j</sub>}<sub>j=1</sub><super> j=n</super>&subset H<super>&infin</super> (D), H &belongs ...