On the discrete spectrum of Schrödinger 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 L 1 norms and Orlicz norms of the potential.