Geodesic
Integral representations of functions and embeddings of Sobolev spaces on cuspidal domains
Matematičeskie zametki, Tome 61 (1997) no. 2, pp. 201-219

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Some classes of cuspidal domains $G\in\mathbb R^n$ are introduced, and embeddings of the form $W_p^{(l)}(G)\hookrightarrow L_q(G)$, $l\in\mathbb N$, for Sobolev spaces are established. To this end, estimates of some integral operators are needed. These operators cannot be estimated via Riesz potentials or their anisotropic analogs. 
@article{MZM_1997_61_2_a2,
     author = {D. A. Labutin},
     title = {Integral representations of functions and embeddings of {Sobolev} spaces on cuspidal domains},
     journal = {Matemati\v{c}eskie zametki},
     pages = {201--219},
     publisher = {mathdoc},
     volume = {61},
     number = {2},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_2_a2/}
}
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D. A. Labutin. Integral representations of functions and embeddings of Sobolev spaces on cuspidal domains. Matematičeskie zametki, Tome 61 (1997) no. 2, pp. 201-219. http://geodesic.mathdoc.fr/item/MZM_1997_61_2_a2/