Riesz tranforms and Lie groups of polynomial growth

Research Report MRR98-005

Riesz tranforms and Lie groups of polynomial growth

A.F.M. ter Elst, Derek W. Robinson and Adam Sikora

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

are bounded if, and only if, the group is a local direct product of a compact group and a nilpotent group, in which case the transforms of all orders are bounded.

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Download paper:	gzipped DVI file (152K)

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	DVI file (2K)