Composition operators in generalized Hölder classes of analytic functions in the unit disc
Alexey N. Karapetyants
Southern Federal University, Russia
Friday, September 16, 2022
Conference room, Institute of Mathematics
We study composition operators in Hölder analytic classes (constructed by means of modulus of continuity) as well as in classes of varying hölderity. For these operators, boundedness and compactness conditions are obtained in various terms (in particular, in terms that do not use the derivative). Characterization of embeddings of the classes under consideration and characteristics of functions from these classes are especially investigated.