Sobolev Algebras Through a 'Carré du Champ' Identity
Frédéric Bernicot (Université de Nantes)
Dorothee Frey (TU Delft - Electrical Engineering, Mathematics and Computer Science)
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Abstract
We consider abstract Sobolev spaces of Bessel-type associated with an operator. In this work, we pursue the study of algebra properties of such functional spaces through the corresponding semigroup. As a follow-up to our previous work, we show that by making use of the property of a 'carré du champ' identity, this algebra property holds in a wider range than previously shown.