Projected Composition Operators on the Dirichlet Space

Author

Patrick Lopatto, Washington University in St. LouisFollow

Date of Award

Spring 5-2015

Author's School

Graduate School of Arts and Sciences

Author's Department

Mathematics

Degree Name

Master of Arts (AM/MA)

Degree Type

Thesis

Abstract

A projected composition operator is a composition operator composed with a projection. Rochberg has proven several results concerning projected composition operators on the Hardy space. Building on his work, I prove analogous results for projected composition operators on the Dirichlet space. This thesis features explicit examples, d-bar techniques, and probabilistic methods.

Language

English (en)

Chair and Committee

John E. McCarthy

Committee Members

Richard Rochberg, Gregory Knese

Comments

Permanent URL: https://doi.org/10.7936/K7PZ570W

Recommended Citation

Lopatto, Patrick, "Projected Composition Operators on the Dirichlet Space" (2015). Arts & Sciences Electronic Theses and Dissertations. 379.
https://openscholarship.wustl.edu/art_sci_etds/379