Article contents
Sobolev Algebras Through a ‘Carré Du Champ’ Identity
Published online by Cambridge University Press: 24 July 2018
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.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 4 , November 2018 , pp. 1041 - 1054
- Copyright
- Copyright © Edinburgh Mathematical Society 2018
References
- 3
- Cited by