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Geometric Hardy inequalities for the sub-elliptic Laplacian on convex domains in the Heisenberg group
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-0057-8211
2016 (English)In: Bulletin of Mathematical Sciences, ISSN 1664-3607, E-ISSN 1664-3615, Vol. 6, no 3, 335-352 p.Article in journal (Refereed) Published
Abstract [en]

We prove geometric Lp versions of Hardy’s inequality for the sub-elliptic Laplacian on convex domains Ω in the Heisenberg group Hn, where convex is meant in the Euclidean sense. When p= 2 and Ω is the half-space given by ⟨ ξ, ν⟩ > d this generalizes an inequality previously obtained by Luan and Yang. For such p and Ω the inequality is sharp and takes the form (Formula presented.), where dist(·,∂Ω) denotes the Euclidean distance from ∂Ω.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 6, no 3, 335-352 p.
Keyword [en]
35A23, 35H20
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-195306DOI: 10.1007/s13373-016-0083-4ISI: 000385157400001Scopus ID: 2-s2.0-84991388174OAI: oai:DiVA.org:kth-195306DiVA: diva2:1045770
Funder
Swedish Research Council, 2012-3864
Note

QC 20161110

Available from: 2016-11-10 Created: 2016-11-02 Last updated: 2016-11-11Bibliographically approved

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