Comparison of the Bergman and Szego kernels
Siqi Fu, Rutgers Univesity
Abstract:
The Bergman and Szego kernels are two important reproducing kernels in the function theory of several complex variables. They are related yet distinct. Whereas the Bergman kernel is related to the d-bar-problem, the Szego kernel is related to the d-bar-b-problem. In this lecture, I will talk about the recent joint work with Boyong Chen on comparison of the Bergman and Szego kernels on pseudoconvex domains, using Hormander type estimates of the d-bar operator.