Geodesic
Another Note on the Embedding of the Sobolev Space for the Limiting Exponent
Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 503-515

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The embedding of the Sobolev spaces $W_p^s(\mathbb{R}^n)$ in a Lizorkin-type space of locally summable functions of zero smoothness is established. This result is extended to the case of the embedding of Sobolev spaces on nonregular domains of $n$-dimensional Euclidean space. The formulation of the theorem depends on the geometric parameters of the domain of the functions.
Keywords: Sobolev space, Lizorkin space, embedding theorem, zero smoothness. 
@article{MZM_2017_101_4_a1,
     author = {O. V. Besov},
     title = {Another {Note} on the {Embedding} of the {Sobolev} {Space} for the {Limiting} {Exponent}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {503--515},
     publisher = {mathdoc},
     volume = {101},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a1/}
}
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O. V. Besov. Another Note on the Embedding of the Sobolev Space for the Limiting Exponent. Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 503-515. http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a1/