Riesz transforms and Lie groups of polynomial growth

A.F.M. Elst, ter; D.W. Robinson; A. Sikora

doi:10.1006/jfan.1998.3361

Riesz transforms and Lie groups of polynomial growth

A.F.M. Elst, ter
, D.W. Robinson
, A. Sikora

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

20 Citaten (Scopus)

Samenvatting

Let G be a Lie group of polynomial growth. We prove that the second-order Riesz transforms onL2(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.

Originele taal-2	Engels
Pagina's (van-tot)	14-51
Aantal pagina's	38
Tijdschrift	Journal of Functional Analysis
Volume	162
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1006/jfan.1998.3361
Status	Gepubliceerd - 1999

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abstract = "Let G be a Lie group of polynomial growth. We prove that the second-order Riesz transforms onL2(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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AU - Robinson, D.W.

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AB - Let G be a Lie group of polynomial growth. We prove that the second-order Riesz transforms onL2(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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DO - 10.1006/jfan.1998.3361

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Riesz transforms and Lie groups of polynomial growth

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