Nadine Badr
Published 2007-05-15, updated 2008-04-01Version 3
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.
Real interpoaltion of Sobolev spaces associated to a weight
Relationship between limiting K-spaces and J-spaces in the real interpolation
Interpolation of subspaces and applications to exponential bases in Sobolev spaces
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