Eigenfunctions of Composition Operators on Bloch-type Spaces
Abstract
Suppose is a holomorphic self map of the unit disk and C is a composition operator with symbol that fixes the origin and 0<|'(0)|<1. This work explores sufficient conditions that ensure all holomorphic solutions of Schr\"oder equation for the composition operator C belong to a Bloch-type space Bα for some α>0. The results from composition operators have been extended to weighted composition operators in the second part of this work.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.