Magnetic Hardy inequalities with singular integral weights
Mathematical Physics
2026-02-18 v1 math.MP
Spectral Theory
Abstract
In this paper we present Hardy type inequalities for magnetic Dirichlet forms with singular integral weights. We analyze the local and global optimality of the integral weight and discuss several examples in details. An application of our results to spectral estimates for magnetic Schr\"odinger operators is provided as well.
Cite
@article{arxiv.2602.15665,
title = {Magnetic Hardy inequalities with singular integral weights},
author = {Hynek Kovarik and Pier Cristoforo Rossaro},
journal= {arXiv preprint arXiv:2602.15665},
year = {2026}
}