# A criterion for normality of analytic mappings

## TL;DR

This paper generalizes a previous characterization of differentiable functions in the Bloch space and establishes a Holland--Walsh type theorem for normal analytic mappings on the unit disk.

## Contribution

It extends Pavlović's result to broader contexts and introduces a new theorem for normal mappings in complex analysis.

## Key findings

- Generalized Pavlović's characterization of Bloch space functions
- Derived a Holland--Walsh type theorem for normal mappings
- Enhanced understanding of analytic normal mappings

## Abstract

In this paper we give a generalization and improvement of the Pavlovi\'{c} 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.