Path components of the space of (weighted) composition operators on Bergman spaces
The paper studies the topological structure (connectedness and path connectedness to be specific) of the set of (weighted) composition operators on weighted Bergman spaces \(A^p_\alpha\) of the unit disk, where \(p>0\) and \(\alpha>-1\). A condition is found for two composition operators to be linearly connected in the set. Another result shows that the set of compact composition operators is connected but not a component.
scientific article; zbMATH DE number 7345250
scientific article