## Arts & Sciences Electronic Theses and Dissertations

#### Title

Commutators and Weak Factorization

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,

Permanent URL: https://doi.org/10.7936/va1z-x864

COinS

#### DOI

https://doi.org/10.7936/ah86-rz19