Abstract:
In this paper, we obtain direct and inverse embedding theorems of different dimensions (trace theorems) for functions from the multianisotropic Sobolev space $W^{\mathfrak{N}}_2(\mathbb{R}^3)$ in the case of one class of completely regular polyhedron $\mathfrak{N}$.
Key words:completely regular polyhedron, multianisotropic Sobolev space, trace of a function.
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