B. Han

activity

20152022

most citedSobolev spaces on warped products

15 citations · 51 across the 14 of their papers we have counts for

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Showing 2019 · math.MGShow all

3 papers · 2 filters

math.MG2019★ 1 cited

The sharp $p$ -Poincaré inequality under the measure contraction property

Bang-Xian Han

We obtain sharp estimate on $p$ -spectral gaps, or equivalently optimal constant in $p$ -Poincaré inequalities, for metric measure spaces satisfying measure contraction property. We…

math.MG2019★ 3 cited

Sharp Poincaré inequalities under Measure Contraction Property

Bang-Xian Han, Emanuel Milman

We prove a sharp Poincaré inequality for subsets $Ω$ of (essentially non-branching) metric measure spaces satisfying the Measure Contraction Property $MCP (K, N)$ , whose dia…

math.MG2019★ 7 cited

Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds

Bang-XIan Han

In this paper we investigate Lott-Sturm-Villani's synthetic lower Ricci curvature bound on Riemannian manifolds with boundary. We prove several measure rigidity results for some im…

The sharp p-Poincaré inequality under the measure contraction property

Sharp Poincaré inequalities under Measure Contraction Property

Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds

The sharp $p$ -Poincaré inequality under the measure contraction property