Geodesic
Integral Representations and Embeddings of Spaces of Functions of Positive Smoothness on a H\"older Domain
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 53-64

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We prove embedding theorems for spaces of functions of positive smoothness defined on a Hölder domain of $n$-dimensional Euclidean space.
Keywords: embedding, spaces of functions of positive smoothness, Sobolev space.
Mots-clés : Hölder domain 
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     author = {O. V. Besov},
     title = {Integral {Representations} and {Embeddings} of {Spaces} of {Functions} of {Positive} {Smoothness} on a {H\"older} {Domain}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {53--64},
     publisher = {mathdoc},
     volume = {323},
     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/TM_2023_323_a2/}
}
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O. V. Besov. Integral Representations and Embeddings of Spaces of Functions of Positive Smoothness on a H\"older Domain. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 53-64. http://geodesic.mathdoc.fr/item/TM_2023_323_a2/