Harnack inequality for the Schrodinger problem relative to strongly local Riemannian p-homogeneous forms with a potential in the Kato class

We define a notion of Kato class of measures relative to a Riemannian strongly local p-homogeneous Dirichlet form and we prove a Harnack inequality (on balls that are small enough) for the positive solutions to a Schroedinger-type problem relative to the form with a potential in the Kato class.