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Riesz Transforms and Lie Groups of Polynomial Growth

✍ Scribed by A.F.M. ter Elst; Derek W. Robinson; Adam Sikora

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
264 KB
Volume
162
Category
Article
ISSN
0022-1236

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✦ Synopsis

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.

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