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

Journal article (2018)

Authors

J.M.A.M. van Neerven Analysis - EEMCS
R. Versendaal Applied Probability - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2018 J.M.A.M. van Neerven, R. Versendaal
DOI: https://doi.org/10.1007/s12220-017-9947-4
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Published Date

2018

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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.