18.04.2024, 16:15
– Raum 1.10
Forschungsseminar Differentialgeometrie
Spinstrukturen und Dirac-Operator
Christian Bär (UP)
We consider perturbations of Dirac type operators on complete, connected metric spaces equipped with a doubling measure. Under a suitable set of assumptions, we prove quadratic estimates for such operators and hence deduce that these operators have a bounded functional calculus. In particular, we deduce a Kato square root type estimate.