1 citations · 1 across the 9 of their papers we have counts for
9 papers
Loomis-Whitney inequalities on Reiter-Heisenberg groups
Sheng-Chen Mao, Ye Zhang
We establish a Loomis-Whitney inequality for the Reiter-Heisenberg groups , a family of step-two Carnot groups that includes the Heisenberg groups when . The…
Spectral asymptotics of sub-Riemannian Laplacians on compact Heisenberg manifolds
Sheng-Chen Mao, Ye Zhang
Let \(N_M(λ)\) be the spectral counting function of the sub-Laplacian on the compact Heisenberg manifold \(M=Γ\backslash\mathbb H_d\), where is a lattice subgroup of the Heisen…
A dichotomy for uniform Riesz transform bounds on stratified Lie groups
Sheng-Chen Mao, Yaojun Wang, Ye Zhang
Let be a stratified Lie group and be its sub-Laplacian. We prove that the full horizontal Riesz transform is of weak type $…
-Caffarelli--Kohn--Nirenberg inequalities on metric measure spaces
Zhe-Feng Xu, Ye Zhang
Motivated by the sharp constants in the -Caffarelli--Kohn--Nirenberg (or -CKN for short) inequalities on Euclidean spaces, we study, in a unified framework, a sequence of…
The Semiclassical limit of Gauge Field Coherent States: Peakedness and Overlap Functions
Ye Zhang, Zichang Huang
By using the heat kernel method, we construct diffeomorphism-covariant coherent states for the gauge group. We numerically demonstrate that these states exhibit the require…
On the heat semigroup approach to the geometric Forward-Reverse Brascamp-Lieb inequality
Ye Zhang
In this short paper we provide a new proof of the geometric Forward-Reverse Brascamp-Lieb inequality, using the approach of the heat semigroup, or the heat flow. Furthermore, we ch…
On gradient estimates of the heat semigroups on step-two Carnot groups
Sheng-Chen Mao, Ye Zhang
In this work, we give a sufficient condition for a step-two Carnot group to satisfy the quasi Bakry-Émery curvature condition. As an application, we establish the gradient estimate…
Loomis-Whitney inequalities on corank Carnot groups
Ye Zhang
In this paper we provide another way to deduce the Loomis-Whitney inequality on higher dimensional Heisenberg groups based on the one on the first Heisenberg group $…
Heat kernel asymptotics on the free step-two Carnot group with generators
Hong-Quan Li, Sheng-Chen Mao, Ye Zhang
In this work, we establish the uniform heat kernel asymptotics as well as sharp bounds for its derivatives on the free step-two Carnot group with generators. As a by-product, o…