Marius Nietschmann

most citedOptimal Hardy Inequality for Fractional Laplacians on the Integers

9 citations · 9 across the 2 of their papers we have counts for

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math.AP2026

Optimal Hardy Inequalities for Fractional $p$ -Laplacians on the Integers

Florian Fischer, Marius Nietschmann

We obtain optimal Hardy inequalities for fractional powers of the $p$ -Laplacian $Δ_{p}^{σ}$ on $Z$ , $p \in (1, \infty)$ , $σ \in (0, 1/ p)$ . Asymptotically, the optimal weights beh…

math.AP2022★ 9 cited

Optimal Hardy Inequality for Fractional Laplacians on the Integers

Matthias Keller, Marius Nietschmann

We study the fractional Hardy inequality on the integers. We prove the optimality of the Hardy weight and hence affirmatively answer the question of sharpness of the constant.

Optimal Hardy Inequalities for Fractional p-Laplacians on the Integers

Optimal Hardy Inequality for Fractional Laplacians on the Integers

Optimal Hardy Inequalities for Fractional $p$ -Laplacians on the Integers