(1) Institute of Mathematics, Romanian Academy, P.O. Box 1-764, Bucharest, RO-70700, Romania;(2) Institute of Mathematics, Romanian Academy, P.O. Box 1-764, Bucharest, RO-70700, Romania
Abstract:
In this Letter we develop a general procedure leading from a Mourre-type estimation for a given self-adjoint operator H to a Hardy-type weighted inequality. We use this method in order to prove exponential decay for eigenvectors of a large class of perturbations of operators of convolution with bounded analytic functions.