Sobolev algebra through a "carré du champ" identity

Published 1 Dec 2016 in math.CA | (1612.00280v1)

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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