Direct and Inverse Embedding Theorems for Different Dimensions for a Class of Multianisotropic Sobolev Spaces

We consider a class of completely regular polyhedrons \(\mathfrak {N}\) and prove direct and inverse embedding theoremsfor different dimensions (i.e., theorems on the traces) for functions in the Sobolev multianisotropicspace \(W^{\mathfrak {N}}_2(\mathbb {R}^3)\) .