Sharp embedding results for spaces of smooth functions with power weights

Martin Meyries; Mark Veraar

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arXiv · 1112.5388

Sharp embedding results for spaces of smooth functions with power weights

Martin Meyries·Mark Veraar

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Abstract

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

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BibTeX RIS

Martin Meyries, Mark Veraar. 2012-02-09. Sharp embedding results for spaces of smooth functions with power weights. https://arxiv.org/abs/1112.5388

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