Univalent interpolation in Besov spaces and superposition into Bergman spaces (Q934813)

The paper deals with the superposition operators from an analytic Besov space or the little Bloch space into a Bergman space. The authors characterize the considered superposition operators in terms of the order and type of the symbol. They also derive the conditions that provide continuity or boundedness of the operators and investigate their Montel compactness. In addition, the authors prove new non-centered Trudinger--Moser inequalities and solve the problem of interpolation by univalent functions in analytic Besov spaces.