5 citations · 18 across the 20 of their papers we have counts for
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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…
Hessian heat kernel estimates and Calderón-Zygmund inequalities on complete Riemannian manifolds
Jun Cao, Li-Juan Cheng, Anton Thalmaier
We address some fundamental questions concerning geometric analysis on Riemannian manifolds. It has been asked whether the -Calderón-Zygmund inequalities extend to a reasonabl…
Some inequalities on Riemannian manifolds linking Entropy,Fisher information, Stein discrepancy and Wasserstein distance
Li-Juan Cheng, Feng-Yu Wang, Anton Thalmaier
For a complete connected Riemannian manifold let be such that $μ(d x)={\rm e}^{-V(x)} \mbox{vol}(d x)$ is a probability measure on . Taking as reference me…
Exponential contraction in Wasserstein distance on static and evolving manifolds
Li-Juan Cheng, Anton Thalmaier, Shao-Qin Zhang
In this article, exponential contraction in Wasserstein distance for heat semigroups of diffusion processes on Riemannian manifolds is established under curvature conditions where…
Functional inequalities on path space of sub-Riemannian manifolds and applications
Li-Juan Cheng, Erlend Grong, Anton Thalmaier
For sub-Riemannian manifolds with a chosen complement, we first establish the derivative formula and integration by parts formula on path space with respect to a natural gradient o…
A probabilistic method for gradient estimates of some geometric flows
Xin Chen, Li-Juan Cheng, Jing Mao
In general, gradient estimates are very important and necessary for deriving convergence results in different geometric flows, and most of them are obtained by analytic methods. In…