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Boundary Behavior of Univalent Harmonic Mappings

A Survey of Recent Boundary Behavior Results of Univalent Harmonic Mappings
  • Daoud Bshouty
  • Abdallah Lyzzaik
Chapter
Part of the Trends in Mathematics book series (TM)

Abstract

This chapter is a survey of the boundary behavior properties of univalent harmonic mappings of the unit disk \(\mathbb{D}\) over the last two decades. Particular emphasis has been given to the boundary behavior of univalent harmonic mappings “onto” \(\mathbb{D}\) in the sense of Hengartner and Schober.

Keywords

Harmonic Mapping Hardy Space Boundary Function Blaschke Product Boundary Behavior 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer India 2014

Authors and Affiliations

  1. 1.Department of MathematicsTechnionHaifaIsrael
  2. 2.Department of MathematicsAmerican University of BeirutBeirutLebanon

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