2 papers
math.FA2026
Characterizations of -Parabolicity on Graphs
Andrea Adriani, Florian Fischer, Alberto G. Setti
We study -energy functionals on infinite locally summable graphs for and show that many well-known characterizations for a parabolic space are also true in thi…
math.AP2025
Optimal Poincaré-Hardy-type Inequalities on Manifolds and Graphs
Florian Fischer, Christian Rose
We review a method to obtain optimal Poincaré-Hardy-type inequalities on the hyperbolic spaces, and discuss briefly generalisations to certain classes of Riemannian manifolds. Aft…