Geodesic
Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Spaces
Matematičeskie zametki, Tome 103 (2018) no. 3, pp. 336-345

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An embedding theorem for spaces of functions of positive smoothness defined on irregular domains of $n$-dimensional Euclidean space in Lebesgue spaces is proved. The statement of the theorem depends on the geometric parameters of the domains of the functions.
Keywords: embedding theorem, spaces of functions of positive smoothness, irregular domain
Mots-clés : Lebesgue spaces. 
@article{MZM_2018_103_3_a1,
     author = {O. V. Besov},
     title = {Embeddings of {Spaces} of {Functions} of {Positive} {Smoothness} on {Irregular} {Domains} in {Lebesgue} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {336--345},
     publisher = {mathdoc},
     volume = {103},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_3_a1/}
}
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O. V. Besov. Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Spaces. Matematičeskie zametki, Tome 103 (2018) no. 3, pp. 336-345. http://geodesic.mathdoc.fr/item/MZM_2018_103_3_a1/