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VOL. 45 | 2013 Quadratic estimates for pertubed Dirac type operators on doubling measure metric spaces
Lashi Bandara

Editor(s) Xuan Duong, Jeff Hogan, Chris Meaney, Adam Sikora


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.


Published: 1 January 2013
First available in Project Euclid: 3 December 2014

zbMATH: 1341.47040
MathSciNet: MR3424864

Rights: Copyright © 2013, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.


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