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arXiv · 1403.6278

Riesz transform on manifolds with quadratic curvature decay

Gilles Carron
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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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Gilles Carron. 2014-03-25. Riesz transform on manifolds with quadratic curvature decay. https://arxiv.org/abs/1403.6278

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