Riesz transforms and Lie groups of polynomial growth
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.
|Collections||ANU Research Publications|
|Source:||Journal of Functional Analysis|
|01_Robinson_Riesz_transforms_and_Lie_1999.pdf||263.71 kB||Adobe PDF||Request a copy|
|02_Robinson_Riesz_transforms_and_Lie_1999.pdf||250.36 kB||Adobe PDF||Request a copy|
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