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- W4299797718 abstract "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 $frac{(beta-2)^2}{4}$, $2le beta <n$, then we can add an extra trace-term equals to that one that appears in the Kato's inequality. The constant in the trace remainder term is optimal and it tends to zero when $beta$ goes to $n$, while it is equal to the optimal constant in the Kato's inequality when $beta=2$." @default.
- W4299797718 created "2022-10-03" @default.
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- W4299797718 date "2011-05-02" @default.
- W4299797718 modified "2023-09-29" @default.
- W4299797718 title "Sharp Hardy inequalities in the half space with trace remainder term" @default.
- W4299797718 doi "https://doi.org/10.48550/arxiv.1105.0335" @default.
- W4299797718 hasPublicationYear "2011" @default.
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