Sobolev Algebras Through a 'Carré du Champ' Identity

Journal article (2018)

Authors

Frédéric Bernicot Université de Nantes
D. Frey Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2018 Frédéric Bernicot, D. Frey
DOI
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https://doi.org/10.1017/S0013091518000214
Sobolev space Algebra property Heat semigroup
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Published Date

2018

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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.