An estimate of the maximal dilatations of quasiconformal automorphisms of annuli

Katsuhiko Matsuzaki

    Research output: Contribution to journal › Article

    Abstract

    We introduce a certain extremal problem for quasiconformal automorphisms of annuli and give upper and lower estimates for the minimal value of their maximal dilatations.

    Original languageEnglish
    Pages (from-to)923-932
    Number of pages10
    JournalComplex Variables and Elliptic Equations
    Volume58
    Issue number7
    DOIs
    Publication statusPublished - 2013 Jul

    Fingerprint

    Quasiconformal
    Dilatation
    Extremal Problems
    Ring or annulus
    Automorphisms
    Estimate

    Keywords

    • extremal length
    • hyperbolic metric
    • maximal dilatation
    • quasiconformal map

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Computational Mathematics
    • Numerical Analysis

    Cite this

    An estimate of the maximal dilatations of quasiconformal automorphisms of annuli. / Matsuzaki, Katsuhiko.

    In: Complex Variables and Elliptic Equations, Vol. 58, No. 7, 07.2013, p. 923-932.

    Research output: Contribution to journal › Article

    Matsuzaki, K 2013, 'An estimate of the maximal dilatations of quasiconformal automorphisms of annuli', Complex Variables and Elliptic Equations, vol. 58, no. 7, pp. 923-932. https://doi.org/10.1080/17476933.2011.603417
    Matsuzaki K. An estimate of the maximal dilatations of quasiconformal automorphisms of annuli. Complex Variables and Elliptic Equations. 2013 Jul;58(7):923-932. https://doi.org/10.1080/17476933.2011.603417
    Matsuzaki, Katsuhiko. / An estimate of the maximal dilatations of quasiconformal automorphisms of annuli. In: Complex Variables and Elliptic Equations. 2013 ; Vol. 58, No. 7. pp. 923-932.
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