Sobolev algebra through a "carr\'e du champ" identity
Classical Analysis and ODEs
2016-12-02 v1
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.
Cite
@article{arxiv.1612.00280,
title = {Sobolev algebra through a "carr\'e du champ" identity},
author = {Frederic Bernicot and Dorothee Frey},
journal= {arXiv preprint arXiv:1612.00280},
year = {2016}
}
Comments
13 pages