Classes of Sobolev type on quasimetric spaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1447-1455

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On quasimetric measure spaces, classes of functions of Sobolev type are defined. In the model cases, analogues of the classical imbedding theorems are proved.
Mots-clés : quasimetric
Keywords: Sobolev space, embedding theorem.
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     author = {A. S. Romanov},
     title = {Classes of {Sobolev} type on quasimetric spaces},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1447--1455},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a124/}
}
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A. S. Romanov. Classes of Sobolev type on quasimetric spaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1447-1455. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a124/