Geodesic
On the continuity of some classes and subclasses of maps with an $s$-averaged characteristic
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 22 (2022) no. 3, pp. 287-292.

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According to the well-known theorem of S. L. Sobolev, if $G$ is a bounded domain of Euclidean space and a function is a function having the first generalized derivatives summable with degree $p$, then it is continuous in $G$. If $1$ this property, generally speaking, may not be. In this paper, we find the necessary conditions under which some classes and subclasses of maps with an $s$-averaged characteristic will be continuous. Examples of subclasses of such mappings with the above properties are given in our papers. 
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A. N. Malyutina. On the continuity of some classes and subclasses of maps with an $s$-averaged characteristic. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 22 (2022) no. 3, pp. 287-292. http://geodesic.mathdoc.fr/item/ISU_2022_22_3_a1/

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