The gauge theorem for a class of additive functionals of zero energy

In earlier works, the gauge theorem was proved for additive functionals of Brownian motion of the form f ~o q(Bs)ds, where q is a function in the Kato class. Subsequently, the theorem was extended to additive functionals with Revuz measures/ t in the Kato class. We prove that the gauge theorem holds for a large class of additive functionals of zero energy… CONTINUE READING