Real interpolation of Sobolev spaces

Authors

  • Nadine Badr

DOI:

https://doi.org/10.7146/math.scand.a-15117

Abstract

We prove that $W^{1}_{p}$ is a real 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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Published

2009-12-01

Issue

Vol. 105 No. 2 (2009)

Section

Articles

How to Cite

[1]
N. Badr, “Real interpolation of Sobolev spaces”, Math. Scand., vol. 105, no. 2, pp. 235–264, Dec. 2009, doi: 10.7146/math.scand.a-15117.