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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 4, Pages 864–877
DOI: https://doi.org/10.33048/smzh.2021.62.413 (Mi smj7601) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the isomorphism of Sobolev-type classes on metric spaces

A. S. Romanov

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (494 kB) Citations (2)
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DOI: https://doi.org/10.33048/smzh.2021.62.413
Abstract: We consider the question of the “equivalence” of measure metric spaces from the standpoint of the isomorphism of the classes of Sobolev-type functions on them.
Keywords: metric spaces, Sobolev-type functions, isomorphism.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0007
The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314–2019–0007).
Received: 20.01.2021
Revised: 20.01.2021
Accepted: 11.06.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 4, Pages 707–718
DOI: https://doi.org/10.1134/S0037446621040133
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: A. S. Romanov, “On the isomorphism of Sobolev-type classes on metric spaces”, Sibirsk. Mat. Zh., 62:4 (2021), 864–877; Siberian Math. J., 62:4 (2021), 707–718
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  • https://www.mathnet.ru/eng/smj7601
  • https://www.mathnet.ru/eng/smj/v62/i4/p864
    • This publication is cited in the following 2 articles:
    1. A. S. Romanov, “Otobrazheniya metricheskikh prostranstv, svyazannye s funktsionalnymi klassami sobolevskogo tipa”, Sib. matem. zhurn., 64:4 (2023), 794–814  mathnet  crossref
    2. A. S. Romanov, “Metric Space Mappings Connected with Sobolev-Type Function Classes”, Sib Math J, 64:4 (2023), 897  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :36
    References:59
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