Arts & Sciences Electronic Theses and Dissertations

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Spring 5-15-2019

Author's School

Graduate School of Arts and Sciences

Mathematics

Degree Name

Doctor of Philosophy (PhD)

Dissertation

Abstract

This dissertation addresses some questions related to abstract harmonic analysis that are motivated by operator theory and functional analysis. In particular, we will study boundedness of commutator operators associated to Calder\'on-Zygmund operators and weak factorization of Hardy spaces. We first present a weak factorization result of the Hardy space $H^{p}(\RR^{n})$ in the multilinear setting for \$\frac{n}{n+1}

English (en)

Brett D. Wick

Committee Members

Roman M. Garnett, Gregory E. Knese, John E. McCarthy, Mladen Victor Wickerhauser,