Title: Sharp $L^p-L^q$ estimate for the spectral projection associated with the twisted Laplacian
Speaker: Eunhee Jeong (Korea Institute for Advanced Study, South Korea)
Date: 10 February 2021
Time: 4 pm
Venue: Microsoft Teams (online)
In this talk, we are concerned with sharp estimate for the spectral projection $P_\mu$ associated
with the twisted Laplacian in the Lebesgue spaces. We provide a complete characterization of the
sharp $L^p-L^q$ bound for $P_\mu$, which is similar to that for the spectral projection associated
with the Laplacian. As an application, we discuss the resolvent estimate for the twisted Laplacian.
This talk is based on a joint work with Sanghyuk Lee and Jaehyeon Ryu.