Geodesic
Imbedding theorems and geometric inequalities
Izvestiya. Mathematics , Tome 10 (1976) no. 3, pp. 615-638.

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Imbedding theorems for Sobolev spaces with a symmetric norm are established. In particular, the results obtained lead to new imbedding theorems for Orlich–Sobolev spaces. The proof of the basic results is based on geometric inequalities of the type of the classical Brunn–Minkovskii inequality. Bibliography: 30 titles. 
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V. S. Klimov. Imbedding theorems and geometric inequalities. Izvestiya. Mathematics , Tome 10 (1976) no. 3, pp. 615-638. http://geodesic.mathdoc.fr/item/IM2_1976_10_3_a7/

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