Abstract Hardy-Sobolev spaces and interpolation
نویسنده
چکیده
Hardy-Sobolev spaces and interpolation N. Badr Institut Camille Jordan Université Claude Bernard Lyon 1 UMR du CNRS 5208 F-69622 Villeurbanne Cedex [email protected] F. Bernicot Laboratoire de Mathématiques Université de Paris-Sud UMR du CNRS 8628 F-91405 Orsay Cedex [email protected] October 19, 2010 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.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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