Many Particle Hardy-Inequalities
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 $d\neq 2$. 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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- August 2006
- DOI:
- 10.48550/arXiv.math/0608299
- arXiv:
- arXiv:math/0608299
- Bibcode:
- 2006math......8299H
- Keywords:
-
- Mathematics - Analysis of PDEs;
- Mathematical Physics;
- 35B05
- E-Print:
- 20 pages