Quadratic estimates for perturbed dirac type operators on doubling measure metric spaces
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.
|Collections||ANU Mathematical Sciences Institute (MSI)|
|Source:||Proceedings of the Centre for Mathematics and its Applications|
|Bandara Quadratic estimates for perturbed dirac.pdf||367.34 kB||Adobe PDF|