3 papers
math.DG2025
-Boundedness of the Covariant Riesz Transform on Differential Forms for
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…
math.PR2024
Probability Versions of Li-Yau Type Inequalities and Applications
Feng-Yu Wang, Li-Juan Cheng
By using stochastic analysis, two probability versions of Li-Yau type inequalities are established for diffusion semigroups on a manifold possibly with (non-convex) boundary. The i…
math.PR2022
Hessian estimates for Dirichlet and Neumann eigenfunctions of Laplacian
Li-Juan Cheng, Anton Thalmaier, Feng-Yu Wang
By methods of stochastic analysis on Riemannian manifolds, we develop two approaches to determine an explicit constant for an -dimensional compact manifold with bound…