  We consider Campanato spaces with exponents $\lambda , p$ on domains of class
$C^{0,\gamma}$ in the N-dimensional Euclidean space endowed with a natural
anisotropic metric depending on $\gamma$. We discuss several results including
the appropriate Campanato's embedding theorem and we prove that functions of
those spaces can be extended to the whole of the Euclidean space without
deterioration of the exponents $\lambda, p$.
