|Institution:||Washington University in St. Louis|
|Keywords:||Composition Operators, Dirichlet Space; Analysis|
|Full text PDF:||http://openscholarship.wustl.edu/art_sci_etds/379
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.