Geodesic
Spaces of functions of positive smoothness on irregular domains
Informatics and Automation, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 62-72.

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper is devoted to constructing and studying spaces of functions of positive smoothness on irregular domains of the $n$-dimensional Euclidean space. We prove embedding theorems that connect the spaces introduced with the Sobolev and Lebesgue spaces. The formulations of the theorems depend on geometric parameters of the domain of definition of functions. 
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     author = {O. V. Besov},
     title = {Spaces of functions of positive smoothness on irregular domains},
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     volume = {293},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2016_293_a3/}
}
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O. V. Besov. Spaces of functions of positive smoothness on irregular domains. Informatics and Automation, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 62-72. http://geodesic.mathdoc.fr/item/TRSPY_2016_293_a3/

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