Sharp Hardy–Littlewood–Sobolev inequalities on the octonionic Heisenberg group

Michael Christ; Heping Liu; An Zhang

doi:10.1007/s00526-015-0936-9

Sharp Hardy–Littlewood–Sobolev inequalities on the octonionic Heisenberg group

Michael Christ
, Heping Liu
, An Zhang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

This paper is the second one following Christ et al. (Nonlinear Anal 130:361–395, 2016) in a series, considering sharp Hardy–Littlewood–Sobolev inequalities on groups of Heisenberg type. The first important breakthrough was made in Frank et al. (Ann Math 176:349–381, 2012). In this paper, analogous results are obtained for the octonionic Heisenberg group.

Original language	English
Article number	11
Pages (from-to)	1-18
Number of pages	18
Journal	Calculus of Variations and Partial Differential Equations
Volume	55
Issue number	1
DOIs	https://doi.org/10.1007/s00526-015-0936-9
State	Published - 1 Feb 2016
Externally published	Yes

Keywords

26D10
35A23
35R03
42B37
53C17

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10.1007/s00526-015-0936-9

Cite this

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abstract = "This paper is the second one following Christ et al. (Nonlinear Anal 130:361–395, 2016) in a series, considering sharp Hardy–Littlewood–Sobolev inequalities on groups of Heisenberg type. The first important breakthrough was made in Frank et al. (Ann Math 176:349–381, 2012). In this paper, analogous results are obtained for the octonionic Heisenberg group.",

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KW - 35R03

KW - 42B37

KW - 53C17

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Sharp Hardy–Littlewood–Sobolev inequalities on the octonionic Heisenberg group

Abstract

Keywords

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