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Quasiadditive properties and bilipschitz conditions

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Abstract

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.

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Authors and Affiliations

  1. Institute of Mathematics, 630090 Novosibirsk, Russia, Fax: 383-2-350652, e-mail: ase@math.nsc.ru, Russia

    V. V. Aseev

  2. Mathematics Department, University of Auckland, P. B. 92019, Auckland, New Zealand, Fax: 64-9-3737457, e-mail: m.vamanamurthy@auckland.ac.nz, New Zealand

    M. K. Vamanamurthy

  3. Mathematics Department, P.O. Box 4 (Yliopistonk. 5), FIN-00014 University of Helsinki, Finland, Fax: 358-9-19123213, e-mail: vuorinen@csc.fi, Finland

    M. Vuorinen

Authors
  1. V. V. Aseev
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  2. M. K. Vamanamurthy
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  3. M. Vuorinen
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Received: January 28, 1997; revised version: April 29, 1997

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Aseev, V., Vamanamurthy, M. & Vuorinen, M. Quasiadditive properties and bilipschitz conditions. Aequ. Math. 56, 98–130 (1998). https://doi.org/10.1007/s000100050048

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  • DOI: https://doi.org/10.1007/s000100050048

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