Lp boundedness of Riesz transform related to Schroedinger operators on a manifold
2009
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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