Geodesic
Embeddings and widths of weighted Sobolev classes
Eurasian mathematical journal, Tome 6 (2015) no. 3, pp. 93-100

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In this paper, embedding theorems for reduced weighted Sobolev classes $\hat{W}_{p,g}^r(\Omega)$ in Lebesgue spaces $L_{q,v}(\Omega)$ are obtained. Here weight functions have singularity at the origin and $v\notin L_q(\Omega)$. For some special weight functions order estimates for Kolmogorov, Gelfand and linear widths are obtained. 
@article{EMJ_2015_6_3_a6,
     author = {A. A. Vasil'eva},
     title = {Embeddings and widths of weighted {Sobolev} classes},
     journal = {Eurasian mathematical journal},
     pages = {93--100},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2015_6_3_a6/}
}
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A. A. Vasil'eva. Embeddings and widths of weighted Sobolev classes. Eurasian mathematical journal, Tome 6 (2015) no. 3, pp. 93-100. http://geodesic.mathdoc.fr/item/EMJ_2015_6_3_a6/