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http://bura.brunel.ac.uk/handle/2438/25506| Title: | Quadratic estimates for pertubed Dirac type operators on doubling measure metric spaces |
| Authors: | Bandara, L |
| Issue Date: | 1-Jan-2013 |
| Publisher: | The Australian National University |
| Citation: | Bandara, L. (2013) 'Quadratic estimates for pertubed Dirac type operators on doubling measure metric spaces', Proceedings of the Centre for Mathematics and its Applications, 2013, 45, pp. 1 - 21. |
| Abstract: | 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. |
| Description: | AMSI International Conference on Harmonic Analysis and Applications Macquarie University, Sydney, 7-11 February, 2011. Editor(s) Xuan Duong, Jeff Hogan, Chris Meaney, Adam Sikora. |
| URI: | https://bura.brunel.ac.uk/handle/2438/25506 |
| Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | 367.34 kB | Adobe PDF | View/Open |
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