Composition operators on weighted analytic spaces

Abstract

AbstractWe characterize the membership in the Schatten ideals $\mathcal {S}_p$ , $0<p<\infty $ , of composition operators acting on weighted Dirichlet spaces. Our results concern a large class of weights. In particular, we examine the case of perturbed superharmonic weights. Characterization of composition operators acting on weighted Bergman spaces to be in $\mathcal {S}_p$ is also given.