Real interpolation of Sobolev spaces

Nadine Badr

Type: Article

Publication Date: 2009-12-01

Citations: 15

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.

Locations

MATHEMATICA SCANDINAVICA - View - PDF
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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