Abstract
We study some properties of the metric space mappings connected with the Sobolev-type function classes \( M^{1}_{p}(X,d,\mu) \).
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Notes
In [1], Reshetnyak used another definition for this class.
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Funding
The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0005).
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Translated from Sibirskii Matematicheskii Zhurnal, 2023, Vol. 64, No. 4, pp. 794–814. https://doi.org/10.33048/smzh.2023.64.412
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Romanov, A.S. Metric Space Mappings Connected with Sobolev-Type Function Classes. Sib Math J 64, 897–913 (2023). https://doi.org/10.1134/S0037446623040122
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DOI: https://doi.org/10.1134/S0037446623040122