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On the Convergence of Mappings with k-Finite Distortion Научная публикация

Журнал

Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876

Вых. Данные

Год: 2017, Том: 102, Номер: 6, Страницы: 943-948 Страниц : 6 DOI: 10.1134/S0001434617110281

Ключевые слова

mapping with k-finite distortion, distortion coefficient, passage to the limit, differential form

Авторы

Vodopyanov S.K. ^1,2 , Kudryavtceva N.A. ³

Организации

1	Mathematical Institute, Siberian Branch, Russian Academy of Sciences
2	Peoples’ Friendship University of Russia (RUDN)
3	Novosibirsk State University

As is known, the limit of a uniformly convergent sequence of analytic functions will be an analytic function. Reshetnyak has generalized this result to the class of mappings with bounded distortion: the limit of a locally uniformly convergent sequence of mappings with bounded distortion is a mapping with bounded distortion. In this paper, we extend these assertions to classes of mappings with 𝑘-finite distortion that naturally arise in the problem of transferring differential degree forms 𝑘

Vodopyanov S.K. , Kudryavtceva N.A.
On the Convergence of Mappings with k-Finite Distortion
Mathematical Notes. 2017. V.102. N6. P.943-948. DOI: 10.1134/S0001434617110281 WOS Scopus OpenAlex

Водопьянов С.К. , Кудрявцева Н.А.
О сходимости отображений с k-конечным искажением
Математические заметки. 2017. Т.102. №6. С.943-948. DOI: 10.4213/mzm11688 OpenAlex

Поступила в редакцию:

21 мая 2017 г.

Web of science:	WOS:000418838500028
Scopus:	2-s2.0-85039427279
OpenAlex:	W2779691822

БД	Цитирований
Scopus	2
OpenAlex	2
Web of science	2