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We consider function spaces of Besov, Triebel-Lizorkin, Bessel-potential andSobolev type on $\R^d$, equipped with power weights $w(x) = |x|^\gamma$,$\gamma>-d$. We prove two-weight Sobolev embeddings for these spaces. Moreover,we precisely characterize for which parameters the embeddings hold. The proofsare presented in such a way that they also hold for vector-valued functions.

Sharp embedding results for spaces of smooth functions with power weights