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Lp-Analysis of the Hodge–Dirac Operator Associated with Witten Laplacians on Complete Riemannian Manifolds.

Journal Article (2018)
Author(s)

Jan van Neerven (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Rik Versendaal (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Research Group
Analysis
DOI related publication
https://doi.org/10.1007/s12220-017-9947-4 Final published version
More Info
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Publication Year
2018
Language
English
Research Group
Analysis
Issue number
4
Volume number
28
Pages (from-to)
3109-3138
Downloads counter
173
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Abstract

We prove R-bisectoriality and boundedness of the (Formula presented.)-functional calculus in (Formula presented.) for all (Formula presented.) for the Hodge–Dirac operator associated with Witten Laplacians on complete Riemannian manifolds with non-negative Bakry–Emery Ricci curvature on k-forms.