BASICS OF THE QUASICONFORMAL ANALYSIS OF A TWO-INDEX SCALE OF SPATIAL MAPPINGS | Sciact - Система учета научной деятельности ИМ СО РАН

BASICS OF THE QUASICONFORMAL ANALYSIS OF A TWO-INDEX SCALE OF SPATIAL MAPPINGS Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2018, Том: 59, Номер: 5, Страницы: 805–834, Страниц : 30 DOI: 10.1134/S0037446618050075

Ключевые слова

quasiconformal analysis, Sobolev space, capacity estimate, theorem on removable singularities

Авторы

Vodopyanov S.K. ^1,2,3

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University
3	Peoples’ Friendship University of Russia

We define a scale of mappings that depends on two real parameters p and q, n−1 ≤ q ≤ p <∞ 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.
BASICS OF THE QUASICONFORMAL ANALYSIS OF A TWO-INDEX SCALE OF SPATIAL MAPPINGS
Siberian Mathematical Journal. 2018. V.59. N5. P.805–834,. DOI: 10.1134/S0037446618050075 WOS Scopus OpenAlex

Водопьянов С.К.
Основы квазиконформного анализа двухиндексной шкалы пространственных отображений
Сибирский математический журнал. 2018. Т.59. №5. С.1020-1056. DOI: 10.17377/smzh.2018.59.507

Поступила в редакцию:

28 июн. 2018 г.

Web of science:	WOS:000452230400007
Scopus:	2-s2.0-85057505463
OpenAlex:	W2901277639

БД	Цитирований
Scopus	12
OpenAlex	14
Web of science	9