Meromorphic and harmonic functions inducing continuous maps from \(M_{H^\infty}\) into the Riemann sphere (Q5940317)

The authors' summary: NEWLINENEWLINENEWLINEWe study the class of maps from the open unit disc into the Riemann sphere or into \([-\infty,+\infty]\) that can be continuously extended to the maximal ideal space of \(H^{\infty}\). Several characterizations are given for these classes and the subclasses of meromorphic and harmonic functions in terms of cluster sets, spherical gradients and Carleson measures.