Many Particle Hardy-Inequalities
classification
🧮 math.AP
math-phmath.MP
keywords
hardyinequalitiesparticletypeclassicaldealsdifferenttypesdimensions
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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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