Riesz transforms on a discrete group of polynomial growth

Dungey, Nicholas

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Riesz transforms on a discrete group of polynomial growth

Date

2004

Authors

Dungey, Nicholas

Publisher

Cambridge University Press

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.

URI

http://hdl.handle.net/1885/85445

Collections

ANU Research Publications

Source

London Mathematical society. Bulletin

Type

Journal article

DOI

10.1112/S0024609304003443

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Riesz transforms on a discrete group of polynomial growth

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