The distortion of tetrads under quasimeromorphic mappings of Riemann sphere Научная публикация
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Advances in the Theory of Nonlinear Analysis and its Applications
, E-ISSN: 2587-2648 |
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| Вых. Данные | Год: 2023, Том: 7, Номер: 1, Страницы: 189-194 Страниц : 6 DOI: 10.31197/atnaa.1249278 | ||
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| Организации |
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Информация о финансировании (1)
| 1 | Институт математики им. С.Л. Соболева СО РАН | FWNF-2022-0005 |
Реферат:
On the Riemann sphere, we consider the ptolemaic characteristic of a four of non-empty pairwise nonintersecting compact subsets (generalized tetrad, or generalized angle). We obtain an estimate for distortion of this characteristic under the inverse to a K-quasimeromorphic mapping of the Riemann sphere which takes each of its values at no more then N dierent points. The distortion function in this estimate depends only on K and N. In the case K=1, it is an essentially new property of complex rational functions.
Библиографическая ссылка:
Aseev V.V.
The distortion of tetrads under quasimeromorphic mappings of Riemann sphere
Advances in the Theory of Nonlinear Analysis and its Applications. 2023. V.7. N1. P.189-194. DOI: 10.31197/atnaa.1249278 Scopus OpenAlex
The distortion of tetrads under quasimeromorphic mappings of Riemann sphere
Advances in the Theory of Nonlinear Analysis and its Applications. 2023. V.7. N1. P.189-194. DOI: 10.31197/atnaa.1249278 Scopus OpenAlex
Даты:
| Поступила в редакцию: | 24 окт. 2022 г. |
| Принята к публикации: | 17 февр. 2023 г. |
| Опубликована в печати: | 21 февр. 2023 г. |
| Опубликована online: | 21 февр. 2023 г. |
Идентификаторы БД:
| Scopus: | 2-s2.0-85148005095 |
| OpenAlex: | W4361196609 |