Riesz transforms on A discrete group of polynomial growth

Nick Dungey

doi:10.1112/S0024609304003443

Riesz transforms on A discrete group of polynomial growth

Nick Dungey^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Let G be a finitely generated, discrete group of polynomial growth. This paper provides a proof of the boundedness in L_p(G), 1 < p < ∞, of some higher-order Riesz transform operators associated with a probability density on G.

Original language	English
Pages (from-to)	833-840
Number of pages	8
Journal	Bulletin of the London Mathematical Society
Volume	36
Issue number	6
DOIs	https://doi.org/10.1112/S0024609304003443
Publication status	Published - Nov 2004

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title = "Riesz transforms on A discrete group of polynomial growth",

abstract = "Let G be a finitely generated, discrete group of polynomial growth. This paper provides a proof of the boundedness in Lp(G), 1 < p < ∞, of some higher-order Riesz transform operators associated with a probability density on G.",

author = "Nick Dungey",

year = "2004",

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AB - Let G be a finitely generated, discrete group of polynomial growth. This paper provides a proof of the boundedness in Lp(G), 1 < p < ∞, of some higher-order Riesz transform operators associated with a probability density on G.

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DO - 10.1112/S0024609304003443

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EP - 840

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 6

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Riesz transforms on A discrete group of polynomial growth

Abstract

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