A remark on imbedding theorems for Sobolev weight spaces: The case of a domain with hölderian boundary.

Alois Kufner

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Using the Il'in integral representation of functions, imbedding theorems for weighted anisotropic Sobolev spaces in 𝔼ⁿ are proved. By the weight we assume a power function of the distance from an (n-2)-dimensional subspace passing through the domain considered.