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

Bandara, Lashi

Description

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.

CollectionsANU Mathematical Sciences Institute (MSI)
Date published: 2011-02
Type: Journal article
URI: http://hdl.handle.net/1885/13517
Source: Proceedings of the Centre for Mathematics and its Applications

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