Sharp Hardy-Littlewood-Sobolev Inequalities on Octonionic Heisenberg Group
Functional Analysis
2014-07-15 v1 Analysis of PDEs
Abstract
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 breakthrough was made by Frank and Lieb in [FL12]. In this paper, analogous results are obtained for octonionic Heisenberg group.
Keywords
Cite
@article{arxiv.1407.3419,
title = {Sharp Hardy-Littlewood-Sobolev Inequalities on Octonionic Heisenberg Group},
author = {Michael Christ and Heping Liu and An Zhang},
journal= {arXiv preprint arXiv:1407.3419},
year = {2014}
}
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14 pages