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Sobolev spaces on multiple cones

P. AuscherN. Badr — 2010

Annales de la faculté des sciences de Toulouse Mathématiques

The purpose of this note is to discuss how various Sobolev spaces defined on multiple cones behave with respect to density of smooth functions, interpolation and extension/restriction to/from n . The analysis interestingly combines use of Poincaré inequalities and of some Hardy type inequalities.

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