7 citations · 33 across the 33 of their papers we have counts for
37 papers
-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…
Covariant Riesz transform on differential forms for
Li-Juan Cheng, Anton Thalmaier, Feng-Yu Wang
In this paper, we study -boundedness () of the covariant Riesz transform on differential forms for a class of non-compact weighted Riemannian manifolds without assu…
Variations of the sub-Riemannian distance on Sasakian manifolds with applications to coupling
Fabrice Baudoin, Erlend Grong, Robert Neel +1
On Sasakian manifolds with their naturally occurring sub-Riemannian structure, we consider parallel and mirror maps along geodesics of a taming Riemannian metric. We show that thes…
Second Order Bismut formulae and applications to Neumann semigroups on manifolds
Li-Juan Cheng, Anton Thalmaier, Feng-Yu Wang
Let be a complete connected Riemannian manifold with boundary , and let be the Neumann semigroup generated by where for a -vect…
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…
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds
Qin-Qian Chen, Li-Juan Cheng, Anton Thalmaier
In this article, we develop a martingale approach to localized Bismut-type Hessian formulas for heat semigroups on Riemannian manifolds. Our approach extends the Hessian formulas e…