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A criterion for normality of analytic mappings

Published online by Cambridge University Press:  19 November 2021

Marijan Marković*
Affiliation:
Faculty of Sciences and Mathematics, University of Montenegro, Podgorica81 000, Montenegro ([email protected])

Abstract

In this paper, we give a generalization and improvement of the Pavlović result on the characterization of continuously differentiable functions in the Bloch space on the unit ball in $\mathbb {R}^{m}$. Then, we derive a Holland–Walsh type theorem for analytic normal mappings on the unit disk.

Type
Research Article
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society

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