Real interpolation of Sobolev spaces

Details Real interpolation of Sobolev spaces Real interpolation of Sobolev spaces

2007-05-15

arxiv.org/abs/0705.2216v3

Mathematics

Functional Analysis

30 pages

Scientific paper

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}classes of manifolds and general metric spaces, where $q_{0}$ depends on our
hypotheses.

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