Lengths, areas and Lipschitz-type spaces of planar harmonic mappings

Shaolin Chen, Saminathan Ponnusamy, Antti Rasila*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this paper, we give bounds for length and area distortion for harmonic K-quasiconformal mappings, and investigate certain Lipschitz-type spaces on harmonic mappings.

Original languageEnglish
Pages (from-to)62-70
Number of pages9
JournalNonlinear Analysis, Theory, Methods and Applications
Volume115
DOIs
StatePublished - Mar 2015
Externally publishedYes

Keywords

  • Area function
  • Hardy and lipschitz spaces
  • Harmonic and bloch mappings
  • Length
  • Quasiconformal mappings

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