Linear Connectivity, Schwarz-Pick Lemma and Univalency Criteria for Planar Harmonic Mapping

Research output: Contribution to journalArticleScientificpeer-review

Researchers

  • Shao Lin Chen
  • Saminathan Ponnusamy
  • Antti Rasila
  • Xian Tao Wang

Research units

  • Hengyang Normal University
  • Shantou University
  • Indian Statistical Institute

Abstract

In this paper, we first establish a Schwarz-Pick lemma for higher-order derivatives of planar harmonic mappings, and apply it to obtain univalency criteria. Then we discuss distortion theorems, Lipschitz continuity and univalency of planar harmonic mappings defined in the unit disk with linearly connected images.

Details

Original languageEnglish
Pages (from-to)297-308
Number of pages12
JournalACTA MATHEMATICA SINICA : ENGLISH SERIES
Volume32
Issue number3
Publication statusPublished - Mar 2016
MoE publication typeA1 Journal article-refereed

    Research areas

  • Harmonic mapping, linearly connected domain, Schwarz-Pick lemma, alpha-close-to-convex function, John constant, univalency, JOHN CONSTANT

ID: 1581045