N. Badr

most citedReal interpoaltion of Sobolev spaces associated to a weight

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math.FA2007★ 2 cited

Real interpoaltion of Sobolev spaces associated to a weight

Nadine Badr

We study the interpolation property of Sobolev spaces of order 1 denoted by $W_{p, V}^{1}$ , arising from Schrödinger operators with positive potential. We show that for $1\leq p_1<p…

math.FA2007

Real interpolation of Sobolev spaces

Nadine Badr

We prove that $W_{p}^{1}$ is an interpolation space between $W_{p_{1}}^{1}$ and $W_{p_{2}}^{1}$ for $p > q_{0}$ and $1 \leq p_{1} < p < p_{2} \leq \infty$ on some classes of manifolds and…