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

Jan van Neerven; Rik Versendaal

arxiv: 1702.05886 · v1 · pith:XVJZQW3Gnew · submitted 2017-02-20 · 🧮 math.FA · math.DG

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

Jan van Neerven , Rik Versendaal This is my paper

classification 🧮 math.FA math.DG

keywords associatedcompleteinftylaplaciansmanifoldsoperatorriemannianwitten

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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.

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

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