The coefficient of Quasimöbiusness in ptolemaic spaces Научная публикация
| Журнал |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Вых. Данные | Год: 2018, Том: 15, Страницы: 246-257 Страниц : 12 DOI: 10.17377/semi.2018.15.023 | ||
| Ключевые слова | (power) quasimöbius mapping; Möbius mapping; Ptolemaic space; Quasimöbius mapping; Quasisymmetric mapping; Stability theorem | ||
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Реферат:
In ptolemaic spaces the class of η-quasimöbius mappings f: X → Y with control function η(t) = C max[tα, t1/α] may be completely characterized by the inequality K-1 ≤ (1 + log P(fT))/(1 + log P(T)) ≤ K for all tetrads T ⊂ X where P(T) denotes the ptolemaic characteristic of a tetrad. The number K has properties quite similar to those of coefficients of quasiconformality, so the concept of K- quasimöbius mapping may be introduced. In particular, the stability theorem is proved for (1 + ε)-quasimöbius mappings in Rn. © 2018 Sobolev Institute of Mathematics.
Библиографическая ссылка:
Aseev V.V.
The coefficient of Quasimöbiusness in ptolemaic spaces
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2018. V.15. P.246-257. DOI: 10.17377/semi.2018.15.023 WOS Scopus
The coefficient of Quasimöbiusness in ptolemaic spaces
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2018. V.15. P.246-257. DOI: 10.17377/semi.2018.15.023 WOS Scopus
Идентификаторы БД:
| Web of science: | WOS:000438412200023 |
| Scopus: | 2-s2.0-85073218992 |