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We consider Campanato spaces with exponents $\lambda , p$ on domains of class$C^{0,\gamma}$ in the N-dimensional Euclidean space endowed with a naturalanisotropic metric depending on $\gamma$. We discuss several results includingthe appropriate Campanato's embedding theorem and we prove that functions ofthose spaces can be extended to the whole of the Euclidean space withoutdeterioration of the exponents $\lambda, p$.

Extension and embedding theorems for Campanato spaces on $C^{0,\gamma}$ domains