An optimal fractional Hardy inequality on the discrete half-line

Ujjal Das, Rubén de la Fuente-Fernández

In the context of Hardy inequalities for the fractional Laplacian $(-{\Delta }_{\mathbb{N}}{)}^{\sigma }$ on the discrete half-line $\mathbb{N}$, we provide an optimal Hardy-weight $W^{\mathrm{op}}_…