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arxiv: 1407.3419 · v1 · pith:5PIVCTE6new · submitted 2014-07-12 · 🧮 math.FA · math.AP

Sharp Hardy-Littlewood-Sobolev Inequalities on Octonionic Heisenberg Group

classification 🧮 math.FA math.AP
keywords heisenberggroupinequalitiesoctonionicsharpanalogousbreakthroughclz13
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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.

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