Abstract
In this report there are established embedding theorems for spaces of functions u(x1, ..., xn) whose generalized derivatives lie in a symmetric space P(Ω). There are found conditions for separability and reflexivity of the spaces WPr(Ω), and the question of the continuity and complete continuity of the embedding operator of WP1(Ω) into various spaces of functionals is studied. Under certain additional restrictions on the region Ω and the space P, there are proved embedding theorems for the spaces WPr. Bibliography: 19 items.
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