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Resumen de Lp boundedness of Riesz transform related to Schroedinger operators on a manifold

Nadine Badr, Besma Ben Ali

  • We establish various L p estimates for the Schr¨odinger operator −+V on Riemannian manifolds satisfying the doubling property and a Poincar´e inequality, where  is the Laplace-Beltrami operator and V belongs to a reverse H¨older class. At the end of this paper we apply our result to Lie groups with polynomial growth.


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