Sobolev Algebras Through a 'Carré du Champ' Identity

Frédéric Bernicot; Dorothee Frey

doi:10.1017/S0013091518000214

Sobolev Algebras Through a 'Carré du Champ' Identity

Frédéric Bernicot^*, Dorothee Frey

^*Corresponding author for this work

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4 Citations (Scopus)

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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.

Original language	English
Pages (from-to)	1041-1054
Number of pages	14
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	61
Issue number	4
DOIs	https://doi.org/10.1017/S0013091518000214
Publication status	Published - 2018

Bibliographical note

Accepted Author Manuscript

Keywords

algebra property
heat semigroup
Sobolev space

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10.1017/S0013091518000214

46747498 - Bernicot_FreyV2Accepted author manuscript, 349 KB

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KW - heat semigroup

KW - Sobolev space

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Sobolev Algebras Through a 'Carré du Champ' Identity

Abstract

Bibliographical note

Keywords

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