9 citations · 18 across the 11 of their papers we have counts for
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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.DG2009
An atomic decomposition of the Hajłasz Sobolev space $\Mone$ on manifolds
Nadine Badr, Galia Dafni
Several possible notions of Hardy-Sobolev spaces on a Riemannian manifold with a doubling measure are considered. Under the assumption of a Poincaré inequality, the space $\Mone$,…
math.CA2009★ 2 cited
Abstract Hardy-Sobolev spaces and interpolation
Nadine Badr, Frederic Bernicot
The purpose of this work is to describe an abstract theory of Hardy-Sobolev spaces on doubling Riemannian manifolds via an atomic decomposition. We study the real interpolation of…