Geodesic
Embeddings of weighted Sobolev classes on a John domain
Eurasian mathematical journal, Tome 5 (2014) no. 3, pp. 129-134 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, embedding theorems for weighted Sobolev classes are obtained. Here weights are functions of distance to some $h$-set. 
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     title = {Embeddings of weighted {Sobolev} classes on a {John} domain},
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A. A. Vasil'eva. Embeddings of weighted Sobolev classes on a John domain. Eurasian mathematical journal, Tome 5 (2014) no. 3, pp. 129-134. http://geodesic.mathdoc.fr/item/EMJ_2014_5_3_a9/

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[10] A. A. Vasil'eva, Estimates for norms of two-weighted summation operators on a tree under some conditions on weights, arXiv: 1311.0375