Semi-classical functional calculus on manifolds with ends and weighted estimates
Jean-Marc Bouclet (2011)
Annales de l’institut Fourier
Similarity:
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 boundedness properties of these operators and show in particular that, although they are not bounded on in general, they are always bounded on suitable weighted spaces.