Many-particle Hardy inequalities
AbstractIn this paper we prove three different types of the so-called many-particle Hardy inequalities. One of them is a ‘classical type’ which is valid in any dimension d ≠ 2. The second type deals with 2-dimensional magnetic Dirichlet forms, where every particle is supplied with a solenoid. Finally we show that Hardy inequalities for fermionic functions (fully anti-symmetric for d = 1, 2) hold true in all dimensions.