A note on the characterization of finite Blaschke products
Nina Zorboska
TL;DR
This paper generalizes the existing characterization of finite Blaschke products by examining the boundary behavior of a weighted local hyperbolic distortion of analytic self-maps of the unit disk.
Contribution
It introduces a broader characterization framework for finite Blaschke products based on boundary behavior analysis.
Findings
Extended the characterization of finite Blaschke products.
Utilized boundary behavior of weighted local hyperbolic distortion.
Provided a generalized approach compared to previous results.
Abstract
We give a slight generalization of the characterization of finite Blaschke products given in a previous paper. The characterization uses the boundary behaviour of a weighted local hyperbolic distortion of an analytic self-map of the unit disk.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Mathematical Dynamics and Fractals