2 papers
math.DG2026
-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 \(\nabla(Î_μ^{(k)}+Ï)^{-1/2} \) on differential forms over a class of complete weighted Riema…
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…