Tue, October 7, 2025
4:10 pm - 5:10 pm
Math Tower (MW) 154
Debraj Chakrabarti
Central Michigan University
Title
Restricted-type estimates on the Bergman projection
Abstract
We obtain (weighted) restricted-type estimates for the Bergman projection operator on monomial polyhedra, a class of domains generalizing the Hartogs triangle. A restricted-type estimate is an estimate in the $L^p$-norm on an operator, which however holds only on characteristic functions. From these restricted-type estimates, we recapture $L^p$-boundedness results of the Bergman projection on these domains. On some monomial polyhedra, we show that the Bergman projection could fail to be of weak type $(q_*, q_*)$ , where $q_*$ denotes the right end-point of the interval of boundedness of the Bergman projection. This is joint work with Zhenghui Huo of Duke Kunshan University.