Journal d’Analyse Mathématique

, Volume 96, Issue 1, pp 269–282 | Cite as

Quasiconformal extension of biholomorphic mappings in several complex variables

  • Hidetaka Hamada
  • Gabriela Kohr


Letf(z, t) be a subordination chain fort ∈ [0, α], α>0, on the Euclidean unit ballB inC n. Assume thatf(z) =f(z, 0) is quasiconformal. In this paper, we give a sufficient condition forf to be extendible to a quasiconformal homeomorphism on a neighbourhood of\(\bar B\). We also show that, under this condition,f can be extended to a quasiconformal homeomorphism of\(\overline {R^{2n} } \) onto itself and give some applications.


Complex Variable Biholomorphic Mapping Local Diffeomorphism Schwarz Mapping Quasiconformal Extension 
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Copyright information

© The Hebrew University Magnes Press 2005

Authors and Affiliations

  • Hidetaka Hamada
    • 1
  • Gabriela Kohr
    • 2
  1. 1.Faculty of EngineeringKyushu Sangyo UniversityFukuokaJapan
  2. 2.Faculty of Mathematics and Computer ScienceBabeş-Bolyai UniversityCluj-NapocaRomania

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