Optimal Hardy Inequality for Fractional Laplacians on the Integers
Analysis of PDEs
2023-07-19 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
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.
Cite
@article{arxiv.2207.12097,
title = {Optimal Hardy Inequality for Fractional Laplacians on the Integers},
author = {Matthias Keller and Marius Nietschmann},
journal= {arXiv preprint arXiv:2207.12097},
year = {2023}
}