Projected Composition Operators on the Dirichlet Space

by Patrick Lopatto

Institution: Washington University in St. Louis
Year: 2015
Keywords: Composition Operators, Dirichlet Space; Analysis
Record ID: 2058192
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.