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On groups of polynomial subgroup growth

✍ Scribed by Alexander Lubotzky; Avinoam Mann


Publisher
Springer-Verlag
Year
1991
Tongue
English
Weight
707 KB
Volume
104
Category
Article
ISSN
0020-9910

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Let G be a Lie group of polynomial growth. We prove that the second-order Riesz transforms on L 2 (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.