November 4, 2025
4:10 pm
-
5:10 pm
Math Tower (MW) 154
Adam Christopherson
Baylor University
Title
Lower endpoint blowup of the Bergman projection on non-smooth domains in $\mathbb{C}^n$
Abstract
In this talk, we explore the behavior of the Bergman projection applied to $L^p$, where $p$ is the lower endpoint of the open interval of $L^p$ boundedness for the Bergman projection. In particular, on several families of non-smooth Hartogs-like domains, the Bergman projection fails to be well-defined as an integral operator. In contrast, at the upper endpoint of $L^p$ boundedness, the Bergman projection is well-defined and satisfies a weak-type estimate. This work is joint with L. Chen (ERAU).