13 citations · 28 across the 13 of their papers we have counts for
13 papers
Bilinear Riesz means on the Heisenberg group
Heping Liu, Min Wang
In this article, we investigate the bilinear Riesz means associated to the sublaplacian on the Heisenberg group. We prove that the operator is bounded from $L^{p_{1…
Boundedness of the bilinear Bochner-Riesz Means in the non-Banach triangle case
Heping Liu, Min Wang
In this article, we investigate the boundedness of the bilinear Bochner-Riesz means in the non-Banach triangle case. We improve the corresponding results in [Bern] in two a…
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…