Math @ Duke
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Publications [#348624] of Jianfeng Lu
Papers Published
- Lu, J; Steinerberger, S, A dimension-free hermite-hadamard inequality via gradient estimates for the torsion function,
Proceedings of the American Mathematical Society, vol. 148 no. 2
(January, 2020),
pp. 673-679 [doi]
(last updated on 2024/09/17)
Abstract: Let Ω ⊂ Rn be a convex domain, and let f : Ω → R be a subharmonic function, Δf ≥ 0, which satisfies f ≥ 0 on the boundary ∂Ω. Then (Formula Presented) Our proof is based on a new gradient estimate for the torsion function, Δu = -1 with Dirichlet boundary conditions, which is of independent interest.
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