Phases of unimodular complex valued maps: optimal estimates, the factorization method, and the sum-intersection property of Sobolev spaces
Résumé
We establish optimal lifting estimates for unimodular complex valued maps in the Sobolev spaces $W^{s,p}$. This extends previous results of Bourgain, Dávila-Ignat and Merlet, and relies on new techniques (factorization, duality). We obtain a characterization, based on average martingale estimates, of fractional Sobolev spaces.
Domaines
Analyse fonctionnelle [math.FA]Origine | Fichiers produits par l'(les) auteur(s) |
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