Thursday, May 8, 2025 - 16:15 in B2-238 + Zoom
Optimal Poincaré-Hardy inequalities on graphs
A talk in the Oberseminar Analysis series by
Florian Fischer from University of Bonn
| Abstract: |
We review a method to obtain optimal Poincaré-Hardy inequalities on the hyperbolic spaces. Then we show how to transfer the basic idea to the discrete setting. This yields optimal Poincaré-Hardy-type inequalities on weakly spherically symmetric graphs which include fast enough growing trees and anti-trees. Moreover, this method yields optimal weights which are larger at infinity than the optimal weights constructed via the Fitzsimmons ratio of the square root of the minimal positive Green's function. Joint work with Christian Rose.
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