AbstractsMathematics
Projected Composition Operators on the Dirichlet Space
| Institution: | Washington University in St. Louis |
|---|---|
| Department: | |
| Year: | 2015 |
| Keywords: | Composition Operators, Dirichlet Space; Analysis |
| Record ID: | 2058192 |
| Full text PDF: | http://openscholarship.wustl.edu/art_sci_etds/379 http://openscholarship.wustl.edu/cgi/viewcontent.cgi?article=1380&context=art_sci_etds |
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.
