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.
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/
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