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.
Original language | English |
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Pages (from-to) | 1041-1054 |
Number of pages | 14 |
Journal | Proceedings of the Edinburgh Mathematical Society |
Volume | 61 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2018 |
Bibliographical note
Accepted Author ManuscriptKeywords
- algebra property
- heat semigroup
- Sobolev space