English

On a reverse H\"older inequality for Schr\"odinger operators

Analysis of PDEs 2021-11-03 v3

Abstract

We obtain a reverse H\"older inequality for the eigenfuctions of the Schr\"odinger operator with slowly decaying potentials. The class of potentials includes singular potentials which decay like xα|x|^{-\alpha} with 0<α<20<\alpha<2, in particular the Coulomb potential.

Keywords

Cite

@article{arxiv.1808.08516,
  title  = {On a reverse H\"older inequality for Schr\"odinger operators},
  author = {Seongyeon Kim and Ihyeok Seo},
  journal= {arXiv preprint arXiv:1808.08516},
  year   = {2021}
}

Comments

To appear in Arch. Math., 9 pages, two dimensional result added

R2 v1 2026-06-23T03:43:57.815Z