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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.AP2025
Hessian matrix estimates of heat-type equations via Bismut-Stroock Hessian formula
Li-Juan Cheng, Rui-Yu Yang
In this paper, we establish a new global Hessian matrix estimate for heat-type equations on Riemannian manifolds using a Bismut-type Hessian formula. Our results feature fully expl…