On the discrete spectrum of Schr¨odinger operators with Ahlfors regular potentials in a strip

Abstract

In this paper, quantitative upper estimates for the number of eigenvalues lying below the essential spectrum of Schrodinger operators with potentials generated by Ahlfors regular measures in a strip subject to two different types of boundary conditions (Robin and Dirichlet respectively) are presented. The estimates are presented in terms of weighted L1 norms and Orlicz norms of the potential