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Riesz transforms and Lie groups of polynomial growth

Robinson, Derek; ter Elst, A F M; Sikora, Adam


LetGbe a Lie group of polynomial growth. We prove that the second-order Riesz transforms onL2(G;dg) are bounded if, and only if, the group is a direct product of a compact group and a nilpotent group, in which case the transforms of all orders are bounded.

CollectionsANU Research Publications
Date published: 1999
Type: Journal article
Source: Journal of Functional Analysis
DOI: 10.1006/jfan.1998.3361


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