Geodesic
Generalizations of Sobolev classes to the metric and topological cases
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2024), pp. 97-104

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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.
Keywords: Sobolev class, metric space, topological space. 
N. N. Romanovskii. Generalizations of Sobolev classes to the metric and topological cases. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2024), pp. 97-104. http://geodesic.mathdoc.fr/item/IVM_2024_11_a8/
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     title = {Generalizations of {Sobolev} classes to the metric and topological cases},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {97--104},
     year = {2024},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2024_11_a8/}
}
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