Commutators and Weak Factorization

Author

Marie Jose Saad Kuffner, Washington University in St. LouisFollow

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}

Committee Chair

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

Degree

Doctor of Philosophy (PhD)

Author's Department

Mathematics

Author's School

Graduate School of Arts and Sciences

Document Type

Dissertation

Date of Award

Spring 5-15-2019

Language

English (en)

DOI

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

Recommended Citation

Kuffner, Marie Jose Saad, "Commutators and Weak Factorization" (2019). Arts & Sciences Theses and Dissertations. 1776.

The definitive version is available at https://doi.org/10.7936/ah86-rz19