Geodesic
On the continuity of Sobolev-type functions on homogeneous metric spaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 460-483.

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On $s$-homogeneous metric spaces with measure for Sobolev-type functions with "smoothness" $\alpha \le 1$ we prove the property $s/\alpha$- absolute continuity, in the case when the characteristics that define "smoothness" belong to the corresponding Lorentz space.
Keywords: Lorentz space, Sobolev type functions, homogeneous metric spaces, absolute continuity. 
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A. S. Romanov. On the continuity of Sobolev-type functions on homogeneous metric spaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 460-483. http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a48/

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