Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T21:31:16.208Z Has data issue: false hasContentIssue false
  • English
  • Français

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, Australiadungey@maths.anu.edu.au
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)