Paraproducts and Sobolev algebras on Riemannian manifolds

Nom de l'orateur
Dorothée Frey
Etablissement de l'orateur
Nantes
Date et heure de l'exposé
Lieu de l'exposé
Salle des séminaires

We consider Sobolev spaces on Riemannian manifolds. A natural question to ask is whether these spaces are an algebra under the pointwise product as in the Euclidean case. We shall give sufficient conditions on the underlying Laplace-Beltrami operator to ensure such algebra properties, and describe implications for chain rules and paralinearisation formulas. Our results rely on abstract paraproducts defined via functional calculus for self-adjoint operators. This is joint work with F. Bernicot and T. Coulhon.