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Square roots of perturbed subelliptic operators on Lie groups

Bandara, Lashi; ter Elst, A. F. M.; McIntosh, Alan

Description

We solve the Kato square root problem for bounded measurable perturbations of subelliptic operators on connected Lie groups. The subelliptic operators are divergence form operators with complex bounded coefficients, which may have lower order terms. In this general setting we deduce inhomogeneous estimates. In case the group is nilpotent and the subelliptic operator is pure second order, we prove stronger homogeneous estimates. Furthermore, we prove Lipschitz stability of the estimates under...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
URI: http://hdl.handle.net/1885/104126
Source: Studia Mathematica
DOI: 10.4064/sm216-3-1

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