Geodesic
Embedding of the Sobolev Space into the Orlicz and BMO Spaces with Power Weights
Informatics and Automation, Function spaces, approximations, and differential equations, Tome 243 (2003), pp. 334-345.

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In the embedding theorems $W_p^s(G) \subset L_q (G)$, $W_p^s(G)\subset L_{\Phi}(G)$, and $W_p^s(G)\subset\mathrm{BMO}(G)$, admissible relations between the smoothness and summability parameters are determined by the geometric properties of the underlying domain $G$. These theorems are proved here for domains with irregular boundary. The results are extended to weighted spaces. 
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     author = {Boris V. Trushin},
     title = {Embedding of the {Sobolev} {Space} into the {Orlicz} and {BMO} {Spaces} with {Power} {Weights}},
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Boris V. Trushin. Embedding of the Sobolev Space into the Orlicz and BMO Spaces with Power Weights. Informatics and Automation, Function spaces, approximations, and differential equations, Tome 243 (2003), pp. 334-345. http://geodesic.mathdoc.fr/item/TRSPY_2003_243_a22/

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