Quadratic estimates for perturbed dirac type operators on doubling measure metric spaces
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Authors
Bandara, Lashi
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The Australian National University, Mathematical Sciences Institute, Centre for Mathematics & its Applications
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.
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Citation
AMSI International Conference on Harmonic Analysis and Applications. Xuan Duong, Jeff Hogan, Chris Meaney, and Adam Sikora, eds. Proceedings of the Centre for Mathematics and its Applications, v. 45. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 2013)
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Proceedings of the Centre for Mathematics and its Applications