Abstract for the talk on 14.11.2017 (15:15 h)Oberseminar GEOMETRIE
Felix H. Pogorzelski (Universität Leipzig)
Optimal Hardy inequalities on graphs
The talk is devoted to sharp Hardy inequalities for Laplace (type) operators on weighted graphs. We give sufficient criteria for the existence of Hardy weights in terms of positive superharmonic functions. The method is based on a discrete version of the supersolution construction which has been studied before in the context of elliptic Schrödinger operators on continuous spaces. We also intend to shed some light on optimality criteria and say a word or two about the proofs.
Joint work with Matthias Keller and Yehuda Pinchover.