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arxiv: 1808.04609 · v2 · pith:LTPWJ527new · submitted 2018-08-14 · 🧮 math.PR

The Optimal Constant in Generalized Hardy's Inequality

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keywords constantgeneralizedhardyinequalityoptimalborelcasescontinuous
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We obtain the sharp factor of the two-sides estimates of the optimal constant in generalized Hardy's inequality with two general Borel measures on $\mathbb{R}$, which generalizes and unifies the known continuous and discrete cases.

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