13 citations · 15 across the 10 of their papers we have counts for
4 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…