On negative eigenvalues of two-dimensional Schroedinger operators with singular potentials
Spectral Theory
2020-07-09 v2
Abstract
We present upper estimates for the number of negative eigenvalues of two-dimensional Schroedinger operators with potentials generated by Ahlfors regular measures of arbitrary dimension .The estimates are given in terms of the integrals of the potential with a logarithmic weight and of its L L type Orlicz norms. In the case , our estimates are stronger than the known ones about Schroedinger operators with potentials supported by Lipschitz curves.
Cite
@article{arxiv.1912.05447,
title = {On negative eigenvalues of two-dimensional Schroedinger operators with singular potentials},
author = {Martin Karuhanga and Eugene Shargorodsky},
journal= {arXiv preprint arXiv:1912.05447},
year = {2020}
}
Comments
This version contains minor corrections to the journal version. arXiv admin note: text overlap with arXiv:1609.08098