Analogues of Korn’s Inequality on Heisenberg Groups Full article
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Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362 |
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| Output data | Year: 2019, Volume: 99, Pages: 181–184 Pages count : DOI: 10.1134/S1064562419020248 | ||
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Abstract:
Two analogues of Korn’s inequality on Heisenberg groups are constructed. First, the norm of the horizontal differential is estimated in terms of its symmetric part. 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 this operator. Additionally, a coercive estimate is proved for a differential operator whose kernel coincides with the Lie algebra of the group of conformal mappings on Heisenberg groups.
Cite:
Isangulova D.V.
Analogues of Korn’s Inequality on Heisenberg Groups
Doklady Mathematics. 2019. V.99. P.181–184. DOI: 10.1134/S1064562419020248 WOS Scopus OpenAlex
Analogues of Korn’s Inequality on Heisenberg Groups
Doklady Mathematics. 2019. V.99. P.181–184. DOI: 10.1134/S1064562419020248 WOS Scopus OpenAlex
Original:
Исангулова Д.В.
Аналоги неравенства Корна на группах Гейзенберга
Доклады академии наук. 2019. Т.485. №4. С.405-409. DOI: 10.31857/s0869-56524854405-409 РИНЦ OpenAlex
Аналоги неравенства Корна на группах Гейзенберга
Доклады академии наук. 2019. Т.485. №4. С.405-409. DOI: 10.31857/s0869-56524854405-409 РИНЦ OpenAlex
Dates:
| Submitted: | Nov 27, 2018 |
| Published print: | Jun 19, 2019 |
Identifiers:
| Web of science: | WOS:000472169400018 |
| Scopus: | 2-s2.0-85067595205 |
| OpenAlex: | W2951116434 |