English

Many Particle Hardy-Inequalities

Analysis of PDEs 2014-02-26 v1 Mathematical Physics math.MP

Abstract

In this paper we prove three differenttypes of the so-called many-particle Hardy inequalities. One of them is a "classical type" which is valid in any dimesnion d2d\neq 2. The second type deals with two-dimensional magnetic Dirichlet forms where every particle is supplied with a soplenoid. Finally we show that Hardy inequalities for Fermions hold true in all dimensions.

Keywords

Cite

@article{arxiv.math/0608299,
  title  = {Many Particle Hardy-Inequalities},
  author = {M. Hoffmann-Ostenhof and T. Hoffmann-Ostenhof and A. Laptev and J. Tidblom},
  journal= {arXiv preprint arXiv:math/0608299},
  year   = {2014}
}

Comments

20 pages