Title:

The Generalized Composition Operator on Bloch Spaces

In complex analysis, function composition acts as a linear operator on the set of functions that are analytic on the unit disk. The generalized composition operator J is another linear operator on this set of functions that involves two fixed analytic functions g and 𝜑 and that has behavior similar to the composition operator. In this project, we present a proof of a theorem characterizing the functions g and 𝜑 for J to map functions from Bloch spaces into Bloch spaces. This result is taken from a student thesis which continues by characterizing these functions for similar kinds of linear operators.

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