Quadratic estimates for perturbed Dirac type operators on doubling measure metric spaces

Details Quadratic estimates for perturbed Dirac type operators on doubling measure metric spaces Quadratic estimates for perturbed Dirac type operators on doubling measure metric spaces

2011-07-20

arxiv.org/abs/1107.3905v1

Mathematics

Spectral Theory

Scientific paper

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.

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