N. Badr

activity

20072012

most cited

L^{p}

Boundedness of Riesz transform related to Schrödinger operators on a manifold

9 citations · 18 across the 11 of their papers we have counts for

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3 papers · 1 filter

math.FA2009

New Calderón-Zygmund decompositions

Nadine Badr, Frédéric Bernicot

We state a new Calderon-Zygmund decomposition for Sobolev spaces on a doubling Riemannian manifold. Our hypotheses are weaker than those of the already known decomposition which us…

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…