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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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.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.CA2024

Loomis-Whitney inequalities on corank $1$ Carnot groups

Ye Zhang

In this paper we provide another way to deduce the Loomis-Whitney inequality on higher dimensional Heisenberg groups $H^{n}$ based on the one on the first Heisenberg group $…

Loomis-Whitney inequalities on Reiter-Heisenberg groups

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

Loomis-Whitney inequalities on corank 1 Carnot groups

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

Loomis-Whitney inequalities on corank $1$ Carnot groups