Traces of weighted Sobolev spaces. Old and new
Résumé
We give short simple proofs of Uspenskii's results characterizing Besov spaces as trace spaces of weighted Sobolev spaces. We generalize Uspenskii's results and prove the optimality of these generalizations. We next show how classical results on the functional calculus in the Besov spaces can be obtained as straightforward consequences of the theory of weighted Sobolev spaces.
Origine | Fichiers produits par l'(les) auteur(s) |
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