Ye Zhang

activity

20232026

most citedOn gradient estimates of the heat semigroups on step-two Carnot groups

1 citations · 1 across the 9 of their papers we have counts for

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4 papers · 1 filter

math.CA2026

Loomis-Whitney inequalities on Reiter-Heisenberg groups

Sheng-Chen Mao, Ye Zhang

We establish a Loomis-Whitney inequality for the Reiter-Heisenberg groups $G_{q p}$ , a family of step-two Carnot groups that includes the Heisenberg groups when $q = 1$ . The…

math.SP2026

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 $Γ$ is a lattice subgroup of the Heisen…

math.CA2026

A $p = 2$ dichotomy for uniform Riesz transform bounds on stratified Lie groups

Sheng-Chen Mao, Yaojun Wang, Ye Zhang

Let $G$ be a stratified Lie group and $L$ be its sub-Laplacian. We prove that the full horizontal Riesz transform $\nabla_{H} L^{- 1/2}$ is of weak type $…

math.FA2026

$L^{2}$ -Caffarelli--Kohn--Nirenberg inequalities on metric measure spaces

Zhe-Feng Xu, Ye Zhang

Motivated by the sharp constants in the $L^{2}$ -Caffarelli--Kohn--Nirenberg (or $L^{2}$ -CKN for short) inequalities on Euclidean spaces, we study, in a unified framework, a sequence of…

Loomis-Whitney inequalities on Reiter-Heisenberg groups

Spectral asymptotics of sub-Riemannian Laplacians on compact Heisenberg manifolds

A p=2 dichotomy for uniform Riesz transform bounds on stratified Lie groups

L2-Caffarelli--Kohn--Nirenberg inequalities on metric measure spaces

A $p = 2$ dichotomy for uniform Riesz transform bounds on stratified Lie groups

$L^{2}$ -Caffarelli--Kohn--Nirenberg inequalities on metric measure spaces