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Abstract Hardy-Sobolev spaces and interpolation |
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| Authors: | Nadine Badr,Fré dé ric Bernicot |
| Affiliation: | a Institut Camille Jordan, Université Claude Bernard Lyon 1, 43, blvd du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France b Laboratoire de Mathématiques, Université Paris-Sud XI, F-91405 Orsay Cedex, France |
| 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. |
| Keywords: | Sobolev spaces Hardy-Sobolev spaces Real interpolation Riesz inequalities |
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