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arXiv · 0705.2268

Real interpoaltion of Sobolev spaces associated to a weight

Nadine Badr
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Abstract

We study the interpolation property of Sobolev spaces of order 1 denoted by $W^{1}_{p,V}$, arising from Schrödinger operators with positive potential. We show that for $1\leq p_1 s_0$, $W^{1}_{p,V}$ is a real interpolation space between $W_{p_1,V}^{1}$ and $W_{p_2,V}^{1}$ on some classes of manifolds and Lie groups. The constants $s_{0}, q_{0}$ depend on our hypotheses.

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Nadine Badr. 2008-04-12. Real interpoaltion of Sobolev spaces associated to a weight. https://arxiv.org/abs/0705.2268

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