Absolutely continuous measures and compact composition operator on spaces of Cauchy transforms (Q1777818)

For \(\alpha>0\) the space \(F_\alpha\) consists of functions \(f\) analytic in the unit disk of the form \[ f(z)=\int_{\mathbb T}\frac{1}{(1-\bar\zeta z)^\alpha}d\mu(\zeta), \] where \(\mu\) is a complex Borel measure on the unit circle \({\mathbb T}\). The authors study compact composition operators on \(F_\alpha\)