Quadratic Estimates and perturbations of Dirac type operators on doubling measure metric spaces

Autoren: Lashi Bandara (2011)

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.

Reihe:
Proc. Centre Math. Appl. Austral. Nat. Univ.
Verlag:
Austral. Nat. Univ., Canberra
Buchtitel:
Proceedings of the AMSI International Conference on Harmonic Analysis and Applications
Seiten:
1-21
Band:
45

zur Übersicht der Publikationen