Analogs of Korn’s Inequality on Heisenberg Groups Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2019, Volume: 60, Pages: 846–860 Pages count : DOI: 10.1134/S0037446619050082 | ||
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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.
Cite:
Isangulova D.V.
Analogs of Korn’s Inequality on Heisenberg Groups
Siberian Mathematical Journal. 2019. V.60. P.846–860. DOI: 10.1134/S0037446619050082 WOS Scopus РИНЦ OpenAlex
Analogs of Korn’s Inequality on Heisenberg Groups
Siberian Mathematical Journal. 2019. V.60. P.846–860. DOI: 10.1134/S0037446619050082 WOS Scopus РИНЦ OpenAlex
Original:
Исангулова Д.В.
Аналоги неравенства Корна на группах Гейзенберга
Сибирский математический журнал. 2019. Т.60. №5. С.1085-1102. DOI: 10.33048/smzh.2019.60.508 OpenAlex
Аналоги неравенства Корна на группах Гейзенберга
Сибирский математический журнал. 2019. Т.60. №5. С.1085-1102. DOI: 10.33048/smzh.2019.60.508 OpenAlex
Dates:
| Submitted: | Oct 31, 2018 |
| Accepted: | Jul 24, 2019 |
| Published print: | Oct 5, 2019 |
Identifiers:
| Web of science: | WOS:000488948900008 |
| Scopus: | 2-s2.0-85073255231 |
| Elibrary: | 41692043 |
| OpenAlex: | W4254758320 |