Riesz transform on manifolds with quadratic curvature decay
classification
🧮 math.DG
math.AP
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manifoldsriesztransformcurvaturedecayquadraticboundnessconical
read the original 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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