A criterion for normality of analytic mappings

2019/04/06 by Markovic, Marijan
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.03422

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 ℝ^m. Then we derive a Holland--Walsh type theorem for analytic normal mappings on the unit disk.

Related

• Differential-free characterisation of smooth mappings with controlled\n growth
• Representations for the Bloch type semi-norm of Frechet differentiable\n mappings
• Normal harmonic mappings
• Bloch functions on the unit ball of a Banach space
• Generalized versions of Lipschitz conditions on the modulus of holomorphic functions