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Riesz transforms on a solvable Lie group of polynomial growth

✍ Scribed by Nick Dungey

Publisher
Springer-Verlag
Year
2005
Tongue
French
Weight
254 KB
Volume
251
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES

Riesz Transforms and Lie Groups of Polyn
Riesz Transforms and Lie Groups of Polynomial Growth
✍ A.F.M. ter Elst; Derek W. Robinson; Adam Sikora πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 264 KB

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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✍ Saverio Giulini; Giancarlo Mauceri πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 575 KB

## Abstract We study a class of kernels associated to functions of a distinguished Laplacian on the solvable group __AN__ occurring in the Iwasawa decomposition __G__ = __ANK__ of a noncompact semisimple Lie group __G.__ We determine the maximal ideal space of a commutative subalgebra of __L__^1^,