Sobolev Algebras Through a 'Carré du Champ' Identity
Journal Article
(2018)
Research Group
Analysis
Copyright
© 2018 Frédéric Bernicot, D. Frey
DOI related publication
https://doi.org/10.1017/S0013091518000214
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https://resolver.tudelft.nl/uuid:7f1cc3d1-3315-4ead-abc1-d08dab98735f
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Publication Year
2018
Language
English
Copyright
© 2018 Frédéric Bernicot, D. Frey
Research Group
Analysis
Issue number
4
Volume number
61
Pages (from-to)
1041-1054
Reuse Rights
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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.
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