Abstract Hardy-Sobolev spaces and interpolation
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spacesabstracthardy-sobolevinterpolationapplicationsatomicdecompositiondescribe
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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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