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CMA Research Report


MRR03-003

Nick Dungey

Riesz transforms on a discrete group of polynomial growth


Abstract:  Let G be a finitely generated, discrete group of polynomial growth. We prove the boundedness in Lp(G), 1<p<∞, of some higher order Riesz transform operators associated with a probability density on G.


AMS Classification:  60J15, 60B15
Date:  23 April 2003

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