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Date of Award

Spring 5-15-2019

Author's School

Graduate School of Arts and Sciences

Author's Department

Mathematics

Degree Name

Doctor of Philosophy (PhD)

Degree Type

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}

Language

English (en)

Chair and Committee

Brett D. Wick

Committee Members

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

Comments

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

Available for download on Monday, May 15, 2119

Included in

Mathematics Commons

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