Li-Juan Cheng

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20242026

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math.DG2026

Gradient Estimates for Neumann Semigroups on Manifolds with Boundary under Unbounded Curvature Conditions

Li-Juan Cheng, Feng-Ya Lin

This paper establishes Bismut-type formulas and gradient estimates for Feynman--Kac semigroups on Riemannian manifolds with boundary, under geometric conditions formulated in terms…

math.DG2025

$L^{p}$ -Boundedness of the Covariant Riesz Transform on Differential Forms for $p > 2$

Li-Juan Cheng, Anton Thalmaier, Feng-Yu Wang

We establish the $L^p$-boundedness, for $p>2$, of the covariant Riesz transform $\nabla(Δ_μ^{(k)}+σ)^{-1/2} $ on differential forms over a class of complete weighted Riemanni…

Gradient Estimates for Neumann Semigroups on Manifolds with Boundary under Unbounded Curvature Conditions

Lp-Boundedness of the Covariant Riesz Transform on Differential Forms for p>2

$L^{p}$ -Boundedness of the Covariant Riesz Transform on Differential Forms for $p > 2$