Real interpolation of Sobolev spaces

Nadine Badr (1)

1 ICJ - Institut Camille Jordan

We prove that W1 p is a real interpolation space between W1 p1 and W1 p2 for p > q0 and 1 p1 < p < p2 1 on some classes of manifolds and general metric spaces, where q0 depends on our hypotheses.

Domaines: Analyse fonctionnelle [math.FA]

Nadine Badr. Real interpolation of Sobolev spaces. Mathematica Scandinavica, 2009, pp.235-264. ⟨hal-00863769⟩