Sciact
  • EN
  • RU

Generalizations of Sobolev Classes to the Metric and Topological Cases Full article

Journal Russian Mathematics
ISSN: 1066-369X , E-ISSN: 1934-810X
Output data Year: 2024, Volume: 68, Number: 11, Pages: 84-90 Pages count : 7 DOI: 10.3103/s1066369x24700920
Tags Sobolev class, metric space, topological space
Authors Romanovsky N.N. 1
Affiliations
1 Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0006

Abstract: The paper proposes an approach that makes it possible to describe in the same way classical Sobolev spaces, various generalizations of classical Sobolev spaces for functions defined on a metric or topological space and for functions with values in a metric or topological space, as well as spaces of functions that satisfy certain differential relations
Cite: Romanovsky N.N.
Generalizations of Sobolev Classes to the Metric and Topological Cases
Russian Mathematics. 2024. V.68. N11. P.84-90. DOI: 10.3103/s1066369x24700920 WOS Scopus РИНЦ
Original: Романовский Н.Н.
Об обобщениях классов Соболева на метрический и топологический случаи
Известия высших учебных заведений. Серия: Математика. 2024. №11. С.97-104. DOI: 10.26907/0021-3446-2024-11-97-104 РИНЦ OpenAlex
Dates:
Submitted: Sep 3, 2024
Accepted: Sep 26, 2024
Published print: Nov 21, 2024
Published online: Feb 18, 2025
Identifiers:
Web of science: WOS:001425182100006
Scopus: 2-s2.0-85219695134
Elibrary: 80348747
Citing: Пока нет цитирований
Altmetrics: