Three Projection Operators in Several Complex Variables

Analysis Seminar
Topic:Three Projection Operators in Several Complex Variables
Speaker:Elias Stein
Affiliation:Princeton University
Date:Friday, November 9
Time/Room:3:15pm - 4:15pm/S-101
Video Link:https://video.ias.edu/analysis/stein

I will report on recent joint work with L. Lanzani on three basic projection operators, each associated to an appropriate domain in C^n. These are: variants of Cauchy-Fantappie integrals; the Cauchy-Szego projection: and the Bergman projection. The results obtained give L^p boundedness of these oprators under minimal smoothness assumptions of the boundary of the domain.