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RIESZ TRANSFORMS ON A DISCRETE GROUP OF POLYNOMIAL GROWTH

Published online by Cambridge University Press:  19 October 2004

NICK DUNGEY
NICK DUNGEY
Affiliation:
Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, [email protected]
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Abstract

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

Keywords

60B1543A15
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 6 , November 2004 , pp. 833 - 840
Copyright
© The London Mathematical Society 2004

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