Representations of groups on eigenspaces of invariant differential operators
Henrik Stetkaer (1987)
Banach Center Publications
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Displaying similar documents to “Kazhdan constants associated with Laplacian on connected Lie groups.”
Representations of groups on eigenspaces of invariant differential operators
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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...
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