Quadratic estimates for perturbed dirac type operators on doubling measure metric spaces
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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.
Collections | ANU Mathematical Sciences Institute (MSI) |
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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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File | Description | Size | Format | Image |
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Bandara Quadratic estimates for perturbed dirac.pdf | 367.34 kB | Adobe PDF |
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