Analogues of Korn’s Inequality on Heisenberg Groups Научная публикация
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Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362 |
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| Вых. Данные | Год: 2019, Том: 99, Страницы: 181–184 Страниц : DOI: 10.1134/S1064562419020248 | ||
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Реферат:
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.
Библиографическая ссылка:
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
Оригинальная:
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
Даты:
| Поступила в редакцию: | 27 нояб. 2018 г. |
| Опубликована в печати: | 19 июн. 2019 г. |
Идентификаторы БД:
| Web of science: | WOS:000472169400018 |
| Scopus: | 2-s2.0-85067595205 |
| OpenAlex: | W2951116434 |