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math.CA2026
Optimal Hardy Inequalities for Random Walks on
Philipp Hake, Matthias Keller, Felix Pogorzelski
We prove an optimal Hardy inequality for every aperiodic, symmetric random walk in with finite variance. In particular, we verify null-criticality, and thus, optimal…
math.CA2025
Optimal Hardy Inequality for Fractional Laplacians on the Lattice
Philipp Hake, Matthias Keller, Felix Pogorzelski
We study the fractional Hardy inequality on the integer lattice. We prove null-criticality of the Hardy weight and hence optimality of the constant. More specifically, we present a…