Geodesic
Embeddings of Weighted Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Space
Matematičeskie zametki, Tome 104 (2018) no. 6, pp. 823-834

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An embedding theorem of weighted spaces of functions of positive smoothness defined on irregular domains of $n$-dimensional Euclidean space in weighted Lebesgue spaces is established. The theorem is formulated depending on geometric parameters of the domain of functions.
Keywords: embedding theorem, weighted spaces of functions of positive smoothness, irregular domain
Mots-clés : Lebesgue spaces. 
@article{MZM_2018_104_6_a2,
     author = {O. V. Besov},
     title = {Embeddings of {Weighted} {Spaces} of {Functions} of {Positive} {Smoothness} on {Irregular} {Domains} in {Lebesgue} {Space}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {823--834},
     publisher = {mathdoc},
     volume = {104},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_6_a2/}
}
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O. V. Besov. Embeddings of Weighted Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Space. Matematičeskie zametki, Tome 104 (2018) no. 6, pp. 823-834. http://geodesic.mathdoc.fr/item/MZM_2018_104_6_a2/