The Optimal Constant in Generalized Hardy's Inequality

2018/08/14 by Ying Li, Li, Ying, Yong-Hua Mao +1
Mathematics · #Advanced Harmonic Analysis Research #Analytic Number Theory Research #FOS: Mathematics #Mathematical Approximation and Integration #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1808.04609

openalex publication_date 2018/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 ℝ, which generalizes and unifies the known continuous and discrete cases.

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