Orateur
Giovanni Leoni
Description
This talk explores the trace theory of Sobolev spaces in the critical $p=1$ case. After reviewing the first-order case in which the trace of $W^{1,1}(\Omega)$ is $L^1(\partial\Omega)$, we focus on higher-order Sobolev spaces whose traces are Besov spaces. We will present new and classical results on the trace and lifting problem for these spaces.