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arXiv · 1612.00280

Sobolev algebra through a "carr\'e du champ" identity

Frederic Bernicot·Dorothee Frey
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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 of [4], we show that under the extra property of a "carr\'e du champ identity" , this algebra property holds in a wider range than previously shown.

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Frederic Bernicot, Dorothee Frey. 2016-12-01. Sobolev algebra through a "carr\'e du champ" identity. https://arxiv.org/abs/1612.00280

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