Many Particle Hardy-Inequalities

Details Many Particle Hardy-Inequalities Many Particle Hardy-Inequalities

2006-08-12

arxiv.org/abs/math/0608299v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

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.

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