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arXiv · 0901.0518

Abstract Hardy-Sobolev spaces and interpolation

Nadine Badr·Frederic Bernicot
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Abstract

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 these spaces with Sobolev spaces and finally give applications to Riesz inequalities.

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Nadine Badr, Frederic Bernicot. 2010-04-17. Abstract Hardy-Sobolev spaces and interpolation. https://arxiv.org/abs/0901.0518

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