Generalizations of Sobolev Classes to the Metric and Topological Cases Full article
Journal |
Russian Mathematics
ISSN: 1066-369X , E-ISSN: 1934-810X |
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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 |
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Affiliations |
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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
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
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:
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