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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 5, Pages 1085–1102
DOI: https://doi.org/10.33048/smzh.2019.60.508
(Mi smj3135)
 

This article is cited in 1 scientific paper (total in 1 paper)

Analogs of Korn's inequality on Heisenberg groups

D. V. Isangulova

Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (563 kB) Citations (1)
References:
Abstract: We give two analogs of Korn's inequality on Heisenberg groups. First, the norm of the horizontal differential is estimated in terms of the symmetric part of the differential. Second, Korn's inequality is treated as a coercive estimate for a differential operator whose kernel coincides with the Lie algebra of the isometry group. For this purpose, we construct a differential operator whose kernel coincides with the Lie algebra of the isometry group on Heisenberg groups and prove a coercive estimate for the operator.
Keywords: Heisenberg group, Korn inequality, integral representation formula, Lie algebra of the isometry group, coercive estimate.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.3087.2017/4.6
The author was supported by the Ministry of Education and Science of the Russian Federation (Grant 1.3087.2017/4.6).
Received: 31.10.2018
Revised: 16.06.2019
Accepted: 24.07.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 5, Pages 846–860
DOI: https://doi.org/10.1134/S0037446619050082
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: D. V. Isangulova, “Analogs of Korn's inequality on Heisenberg groups”, Sibirsk. Mat. Zh., 60:5 (2019), 1085–1102; Siberian Math. J., 60:5 (2019), 846–860
Citation in format AMSBIB
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\paper Analogs of Korn's inequality on Heisenberg groups
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\pages 1085--1102
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    References:29
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