Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings | Sciact - Система учета научной деятельности ИМ СО РАН

Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings Научная публикация

Журнал

Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362

Вых. Данные

Год: 2019, Том: 99, Номер: 1, Страницы: 23-27 Страниц : 5 DOI: 10.1134/S1064562419010095

Ключевые слова

QUASICONFORMAL ANALYSIS, SOBOLEV SPACE, CAPACITY ESTIMATE, THEOREM ON REMOVABLE

Авторы

Vodopyanov S.K. ^1,2

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University

We define a scale of mappings that depends on two real parameters p and q, and a weight function θ. In the case of q = p = n, θ ≡ 1, we obtain the well known mappings with bounded distortion. Mappings of a two-index scale inherit many properties of mappings with bounded distortion. They are used for solving a few problems of global analysis and applied problems.

Vodopyanov S.K.
Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings
Doklady Mathematics. 2019. V.99. N1. P.23-27. DOI: 10.1134/S1064562419010095 WOS Scopus OpenAlex

Водопьянов С.К.
Основы квазиконформного анализа двухиндексной шкалы пространственных отображений
Доклады академии наук. 2019. Т.484. №2. С.142-146. DOI: 10.31857/S0869-56524842142-146 OpenAlex

Поступила в редакцию:

6 авг. 2018 г.

Web of science:	WOS:000467908100007
Scopus:	2-s2.0-85065867266
OpenAlex:	W4256501773

БД	Цитирований
Scopus	1
OpenAlex	3
Web of science	1