Email this article Eigenfunctions of Composition Operators on Bloch-type Spaces
- Authors: Paudyal B.1
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Affiliations:
- Central State University
- Issue: Vol 53, No 5 (2018)
- Pages: 266-275
- Section: Functional Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228226
- DOI: https://doi.org/10.3103/S1068362318050035
- ID: 228226
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Abstract
Suppose φ is a holomorphic self map of the unit disk and Cφ is a composition operator with symbol φ that fixes the origin and 0 < |φ'(0)| < 1. This paper explores sufficient conditions that ensure all the holomorphic solutions of Schröder equation for the composition operator Cφ to belong to a Bloch-type space Bα for some α > 0. In the second part of the paper, the results obtained for composition operators are extended to the case of weighted composition operators.
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About the authors
B. Paudyal
Central State University
Author for correspondence.
Email: bpaudyal@centralstate.edu
United States, Wilberforce, Ohio
