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

Journal Article (2018)
Author(s)

JMAM Neerven (TU Delft - Analysis)

R. Versendaal (TU Delft - Applied Probability)

Research Group
Analysis
Copyright
© 2018 J.M.A.M. van Neerven, R. Versendaal
DOI related publication
https://doi.org/10.1007/s12220-017-9947-4
More Info
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Publication Year
2018
Language
English
Copyright
© 2018 J.M.A.M. van Neerven, R. Versendaal
Research Group
Analysis
Issue number
4
Volume number
28
Pages (from-to)
3109-3138
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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.