Analysis Seminar

Three Projection Operators in Several Complex Variables
Series: 
Analysis Seminar
Elias Stein
Princeton University
Date & Time: 
Fri, 11/09/2012 - 15:15 - 16:15
Location: 
S-101

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.