Riesz transform on manifolds with quadratic curvature decay

2014/03/25 by Carron, Gilles · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1403.6278

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.

Cited by

• On the Reverse Inequality of Riesz transform on metric cone with potential
• Isoperimetric Inequality on Manifolds with Quadratically Decaying Curvature

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