Resumen de Riesz transform on manifolds with quadratic curvature decay

Gilles Carron

• We investigate the Lp-boundedness of the Riesz transform on Riemannian manifolds whose Ricci curvature has quadratic decay. Two criterions for the Lp-unboundedness of the Riesz transform are given. We recover known results about manifolds that are Euclidean or conical at infinity.