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Admissible changes of variables for Sobolev functions on (sub-) Riemannian manifolds Научная публикация

Журнал

Sbornik Mathematics
ISSN: 1064-5616 , E-ISSN: 1468-4802

Вых. Данные

Год: 2019, Том: 210, Номер: 1, Страницы: 59--104 Страниц : 50 DOI: 10.1070/SM8899

Ключевые слова

Riemannian manifold, quasi-isometric map, Sobolev space, composition operator

Авторы

Vodopyanov S.K. ^1,2

Организации

1	Sobolev Institute of Mathematics
2	Faculty of Mechanics and Mathematics of Novosibirsk National Research State University

We consider the properties of measurable maps of complete Riemannian manifolds which induce by composition isomorphisms of the Sobolev classes with generalized first variables whose exponent of integrability is distinct from the (Hausdorff) dimension of the manifold. We show that such maps can be re-defined on a null set so that they become quasi-isometries.

Vodopyanov S.K.
Admissible changes of variables for Sobolev functions on (sub-) Riemannian manifolds
Sbornik Mathematics. 2019. V.210. N1. P.59--104. DOI: 10.1070/SM8899 WOS Scopus OpenAlex

Водопьянов С.К.
Допустимые замены переменных для функций классов Соболева на (суб)римановых многообразиях
Математический сборник. 2019. Т.210. №1. С.63-112. DOI: 10.4213/sm8899 OpenAlex

Поступила в редакцию:

29 дек. 2016 г.

Web of science:	WOS:000462302200003
Scopus:	2-s2.0-85067941987
OpenAlex:	W2897426396

БД	Цитирований
Scopus	8
OpenAlex	12
Web of science	9