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Riesz Transforms on Groups of Heisenberg Type

✍ Scribed by Helena Barbas

Book ID
107627518
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
532 KB
Volume
20
Category
Article
ISSN
1050-6926

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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.