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asymptotic constants 1fourier analysis 1hardy inequalities 1high dimensions 1lattice analysis 1

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math.FA2026

Sharp asymptotics for higher-order Hardy constants on lattices

Shubham Gupta

The paper determines the asymptotic behavior of the optimal constants in higher‑order discrete Hardy inequalities on the integer lattice Z^d, showing they grow like 2^ℓ d^ℓ as the…