aequationes mathematicae

, Volume 56, Issue 1–2, pp 98–130 | Cite as

Quasiadditive properties and bilipschitz conditions

  • V. V. Aseev
  • M. K. Vamanamurthy
  • M. Vuorinen


Some properties of quasiadditive functions are studied. Various Hölderian growth estimates are obtained, connections to the classes of Lipschitz and quasisymmetric functions are established, and functional inequalities proved for these functions. Important examples of quasiadditive functions include distortion functions of quasiconformal maps.


Elliptic Integral Distortion Function Cient Condition Functional Inequality Quasisymmetric Function 
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Copyright information

© Birkhäuser-Verlag 1998

Authors and Affiliations

  • V. V. Aseev
    • 1
  • M. K. Vamanamurthy
    • 2
  • M. Vuorinen
    • 3
  1. 1.Institute of Mathematics, 630090 Novosibirsk, Russia, Fax: 383-2-350652, e-mail: ase@math.nsc.ruRussia
  2. 2.Mathematics Department, University of Auckland, P. B. 92019, Auckland, New Zealand, Fax: 64-9-3737457, e-mail: Zealand
  3. 3.Mathematics Department, P.O. Box 4 (Yliopistonk. 5), FIN-00014 University of Helsinki, Finland, Fax: 358-9-19123213, e-mail: vuorinen@csc.fiFinland

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