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Start Over Author "ter Elst, A." Journal journal of functional analysis
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5. Riesz transforms and Lie groups of polynomial growth

Author

Derek W. Robinson, A. F. M. ter Elst, Adam Sikora, Center for Analysis, Scientific Computing & Appl., and Applied Analysis

Subjects
Algebra, Riesz transform, Pure mathematics, Representation of a Lie group, Riesz representation theorem, Simple Lie group, Indefinite orthogonal group, Maximal torus, Nilpotent group, Central series, Analysis, Mathematics
Abstract

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.

Published
1999

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