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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…
math.AP2024
On the Optimality and Decay of -Hardy Weights on Graphs
Florian Fischer
We construct optimal Hardy weights to subcritical energy functionals associated with quasilinear Schrödinger operators on locally finite graphs. Here, optimality means that th…