Carlos Lizama

collaborators

3 papers

math.FA2026

Dimensional transition and spectral instability in lattice Hardy inequalities

Carlos Lizama

Discretization can change a sharp stability threshold even when the continuum threshold is recovered at infinity. We study this phenomenon for the Hardy inequality on the integer l…

math.FA2026

Three-term asymptotics for discrete Hardy--Rellich constants in high dimension

Carlos Lizama

Sharp Hardy--Rellich constants are spectral thresholds for operators with critical inverse-power potentials. Let $C_{ℓ} (N)$ denote the optimal constant in the $ℓ$ th-order discr…

math.FA2026

Sharp discrete Hardy constants in dimensions three and four and strict upper bounds from dimension nine

Carlos Lizama

For $N \geq 3$ , let $C (N)$ be the optimal constant in the nearest-neighbour Hardy inequality on $Z^{N}$ with $u (0) = 0$ , and set $A_{N} = (N - 2)^{2} /4$ . We prove that the continuum coeff…