Projected Composition Operators on the Dirichlet Space
Date of Award
Master of Arts (AM/MA)
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.
Chair and Committee
John E. McCarthy
Richard Rochberg, Gregory Knese
Lopatto, Patrick, "Projected Composition Operators on the Dirichlet Space" (2015). Arts & Sciences Electronic Theses and Dissertations. 379.