Hong-Quan Li

most citedA complete answer to the Gaveau--Brockett problem

2 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2021★ 2 cited

A complete answer to the Gaveau--Brockett problem

Hong-Quan Li, Ye Zhang

The note is dedicated to provide a satisfying and complete answer to the long-standing Gaveau--Brockett open problem. More precisely, we determine the exact formula of the Carnot--…

math.CA2021★ 1 cited

The Carnot-Carathéodory distance on $2$ -step groups

Hong-Quan Li

Combining Varadhan's formula, Loewner's theorem with the method of stationary phase, we study the exact formula of the Carnot-Carathéodory distance on $2$ -step groups. The method i…

math.CA2017★ 1 cited

Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space

Hong-Quan Li, Peter Sjögren

Let $v \neq = 0$ be a vector in $R^{n}$ . Consider the Laplacian on $R^{n}$ with drift $Δ_{v} = Δ + 2 v \cdot \nabla$ and the measure $d μ (x) = e^{2 ⟨ v, x ⟩} d x$ , with respect t…

A complete answer to the Gaveau--Brockett problem

The Carnot-Carathéodory distance on 2-step groups

Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space

The Carnot-Carathéodory distance on $2$ -step groups