$A_{\alpha }^p$ classes in the Dirichlet range: inner-outer factorization, Carleson measures and weak products

Alberto Dayan, Adrián Llinares, Miguel Monsalve-López

We study properties of $A_{\alpha }^p$ spaces in the Dirichlet range, recently defined by Brevig, Kulikov, Seip and Zlotnikov as the set of all holomorphic functions on the unit disc $\mat…