1 citations · 1 across the 2 of their papers we have counts for
6 papers
Uniform volume estimates and maximal functions on generalized Heisenberg-type groups
Cheng Bi, Hong-Quan Li
On generalized Heisenberg-type groups , we give uniform volume estimates for the ball defined by a large class of Carnot-Carathéodory distan…
Riesz transform on manifolds with ends of different volume growth for
Renjin Jiang, Hongquan Li, Haibo Lin
Let , , be complete, connected and non-collapsed manifolds of the same dimension, where , and suppose that each satisfies a doub…
Sub-Riemannian geometry on some step-two Carnot groups
Hong-Quan Li, Ye Zhang
This paper is a continuation of the previous work of the first author. We characterize a class of step-two groups introduced in \cite{Li19}, saying GM-groups, via some basic sub-Ri…
Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups
Hong-Quan Li, Ye Zhang
The aim of this paper is threefold. First, we obtain the precise bounds for the heat kernel on isotropic Heisenberg groups by using well-known results in the three dimensional case…
Lower bound of Riesz transform kernels revisited and commutators on stratified Lie groups
Xuan Thinh Duong, Hong-Quan Li, Ji Li +2
Let be a stratified Lie group and $\{\X_j\}_{1 \leq j \leq n}$ a basis for the left-invariant vector fields of degree one on . Let $Δ= \sum_{j = 1}^n \X_j^…
Lower bound of Riesz transform kernels and Commutator Theorems on stratified nilpotent Lie groups
Xuan Thinh Duong, Hong-Quan Li, Ji Li +1
We provide a study of the Riesz transforms on stratified nilpotent Lie groups, and obtain a certain version of the pointwise lower bound of the Riesz transform kernel. Then we esta…