Semi-classical functional calculus on manifolds with ends and weighted L^p estimates
Semi-classical functional calculus on manifolds with ends and weighted L^p estimates
For a class of non compact Riemannian manifolds with ends, we give semi-classical expansions of bounded functions of the Laplacian. We then study related L p boundedness properties of these operators and show in particular that, although they are not bounded on L p in general, they are always bounded …