Riesz transform on manifolds with quadratic curvature decay (1403.6278v2)

Published 25 Mar 2014 in math.DG and math.AP

Abstract: We investigate the $L^p$-boundness of the Riesz transform on Riemannian manifolds whose Ricci curvature has quadratic decay. Two criteria for the $L^{p$-unboundness} of the Riesz transform are given. We recover known results about manifolds that are Euclidean or conical at infinity.

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Authors (1)

Gilles Carron

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