Sharp Hardy inequalities in the half space with trace remainder term

Details Sharp Hardy inequalities in the half space with trace remainder term Sharp Hardy inequalities in the half space with trace remainder term

2011-05-02

arxiv.org/abs/1105.0335v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper we deal with a class of inequalities which interpolate the Kato's inequality and the Hardy's inequality in the half space. Starting from the classical Hardy's inequality in the half space $\rnpiu =\R^{n-1}\times(0,\infty)$, we show that, if we replace the optimal constant $\frac{(n-2)^2}{4}$ with a smaller one $\frac{(\beta-2)^2}{4}$, $2\le \beta

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