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arXiv:1702.05886 [math.FA]AbstractReferencesReviewsResources

$L^p$-Analysis of the Hodge--Dirac operator associated with Witten Laplacians on complete Riemannian manifolds

Jan van Neerven, Rik Versendaal

Published 2017-02-20Version 1

We prove $R$-bisectoriality and boundedness of the $H^\infty$-functional calculus in $L^p$ for all $1<p<\infty$ for the Hodge-Dirac operator associated with Witten Laplacians on complete Riemannian manifolds with non-negative Bakry-Emery Ricci curvature on $k$-forms.

Comments: 23 pages, submitted for publication
Categories: math.FA, math.DG
Subjects: 47A60, 58A10, 58J35, 58J60
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