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Normal harmonic mappings

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Abstract

The main purpose of this paper is to study the concept of normal function in the context of harmonic mappings from the unit disk \(\mathbb {D}\) to the complex plane. In particular, we obtain necessary conditions for a function f to be normal.

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Authors and Affiliations

  1. Universidad Nacional de Colombia, sede Medellín, Medellín, Colombia

    Hugo Arbeláez

  2. Universidad Adolfo Ibáñez, Viña del Mar, Chile

    Rodrigo Hernández

  3. Universidad del Cauca, Popayán, Colombia

    Willy Sierra

Authors
  1. Hugo Arbeláez
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  2. Rodrigo Hernández
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  3. Willy Sierra
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Corresponding author

Correspondence to Rodrigo Hernández.

Additional information

Communicated by A. Constantin.

The authors were partially supported by Fondecyt Grant #1150284. The first author was partially supported by the Universidad Nacional de Colombia, Hermes Code 34044. The third author wishes to thank the Universidad del Cauca for supporting this work through research project VRI ID 4340.

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Arbeláez, H., Hernández, R. & Sierra, W. Normal harmonic mappings. Monatsh Math 190, 425–439 (2019). https://doi.org/10.1007/s00605-018-1235-2

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  • DOI: https://doi.org/10.1007/s00605-018-1235-2

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