论文标题

改善的一维耐力不平等

An improved one-dimensional Hardy inequality

论文作者

Frank, Rupert L., Laptev, Ari, Weidl, Timo

论文摘要

我们证明了半线上的一维耐力不平等,并以鲜明的恒定为例,这改善了这种不平等的经典形式。由于这种新的不平等,我们可以重新培养已知的双重加权强度不平等。我们的动机来自Schrödinger运营商的理论,我们在这种情况下解释了对强硬不平等的使用。

We prove a one-dimensional Hardy inequality on the halfline with sharp constant, which improves the classical form of this inequality. As a consequence of this new inequality we can rederive known doubly weighted Hardy inequalities. Our motivation comes from the theory of Schrödinger operators and we explain the use of Hardy inequalities in that context.

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