13 citations · 28 across the 13 of their papers we have counts for
6 papers · 1 filter
Restriction Theorems On Métiver Groups Associated to Joint Functional Calculus
Heping Liu, An Zhang
In this article, we get the spectral solution of operators , the joint functional calculus of the sub-Laplacian and Laplacian o…
Remainder Terms for Several Inequalities on Some Groups of Heisenberg-type
Heping Liu, An Zhang
We give some estimates of the remainder terms for several conformally-invariant Sobolev-type inequalities on the Heisenberg group, in analogy with the Euclidean case. By considerin…
Sharp Hardy-Littlewood-Sobolev Inequalities on Octonionic Heisenberg Group
Michael Christ, Heping Liu, An Zhang
This paper is a second one following our work [CLZ13] in series, considering sharp Hardy- Littlewood-Sobolev inequalities on groups of Heisenberg type. The first important breakthr…
Sharp Hardy-Littlewood-Sobolev Inequalities on Quaternionic Heisenberg Groups
Michael Christ, Heping Liu, An Zhang
In this paper, we got several sharp Hardy-Littlewood-Sobolev-type inequalities on quaternionic Heisenberg groups (a general form due to Folland and Stein [FS74]), using the symmetr…
A functional calculus and restriction theorem on H-type groups
Heping Liu, Manli Song
Let be the sublaplacian and the partial Laplacian with respect to central variables on H-type groups. We investigate a class of invariant differential operators by the join…
The restriction theorem for the Grushin operators
Heping Liu, Manli Song
We study the Grushin operators acting on and defined by the formula \begin{equation*} L=-\overset{d_1}{\underset{j=1}{\sum}}\partial_…