Direct and inverse embedding theorems in different dimensions for one type of multianisotropic Sobolev spaces

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 $\mathfrak{N}$.

УДК 517.98

Keywords: completely regular polyhedron, multianisotropic Sobolev space, trace of a function