Abstract Hardy-Sobolev spaces and interpolation

Details Abstract Hardy-Sobolev spaces and interpolation Abstract Hardy-Sobolev spaces and interpolation

2009-01-05

arxiv.org/abs/0901.0518v2

Mathematics

Classical Analysis and ODEs

34 pages

Scientific paper

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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