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arXiv · 0705.2216

Real interpolation of Sobolev spaces

Nadine Badr
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Abstract

We prove that $W^{1}_{p}$ is an interpolation space between $W^{1}_{p_{1}}$ and $W^{1}_{p_{2}}$ for $p>q_{0}$ and $1\leq p_{1}<p<p_{2}\leq \infty$ on some classes of manifolds and general metric spaces, where $q_{0}$ depends on our hypotheses.

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Nadine Badr. 2008-04-01. Real interpolation of Sobolev spaces. https://arxiv.org/abs/0705.2216

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