Tue, March 3, 2026
4:10 pm - 5:10 pm
Math Tower (MW) 154
Dong-June Choi
The Ohio State University
Title
Sharp $L^p$ regularity of the Szegö projection on the Hartogs triangle
Abstract
We study the $L^p$ boundedness of the Szegö projection for the topological boundary of the Hartogs triangle as a singular integral operator. The Szegö projection on the Hartogs triangle has a different range of $L^p$ boundedness than the Bergman projection on the same domain. Moreover, the Szegö projection satisfies a weak-type estimate at the upper endpoint of $L^p$ boundedness but not at the lower endpoint. Also, the Szegö kernel is written in closed form containing log terms in contrast to the Bergman kernel. This talk is based on joint work with Kenneth D. Koenig.