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In this paper, we consider classes of analytical functions that map the unit disk into itself. Functions of these classes can be described in terms of hyperbolic derivative and hyperbolic… Click to show full abstract
In this paper, we consider classes of analytical functions that map the unit disk into itself. Functions of these classes can be described in terms of hyperbolic derivative and hyperbolic metric. Under an appropriate choice of the corresponding metrics, these classes are metric spaces. Functions of the hyperbolic classes considered generate composition operators from the Bloch space into classical spaces of analytical functions in the unit disk.
Keywords:
spaces bounded;
analytical functions;
bounded analytical;
metric spaces
Journal Title: Journal of Mathematical Sciences
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Mathematical Sciences
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!