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Quasiconformal mappings in normed spaces

I Section Quasiconformal And Quasiregular Mappings. Teichmüller Spaces And Kleinian Groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 743)

Abstract

In this paper the F. Gehring’s metric definition for Frèchet-derivable K-quasiconformal mappings in a normed space is investigated. For such mappings, by means of angle distortion, a geometric characterization is given.

Keywords

  • Normed Space
  • Positive Real Number
  • Quasiconformal Mapping
  • Unitary Space
  • Geometric Characterization

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The A. is a member of G.N.A.F.A. (CNR).

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Bibliografy

  1. S. AGARD Angles and qc mappings in space J. Analyse Math. 22, 177–200 (1969).

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  2. P. CARAMAN N-dimensional quasiconformal mappings Edi. Ac. Bucuresti Romania, Abacus Press Tunbridge Wells, Kent, England (1974).

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  3. L. COLLATZ Functional Analysis and Numerical Mathematics Academic Press New York and London. (1966).

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© 1979 Springer-Verlag

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Porru, G. (1979). Quasiconformal mappings in normed spaces. In: Cazacu, C.A., Cornea, A., Jurchescu, M., Suciu, I. (eds) Romanian-Finnish Seminar on Complex Analysis. Lecture Notes in Mathematics, vol 743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079495

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  • DOI: https://doi.org/10.1007/BFb0079495

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09550-7

  • Online ISBN: 978-3-540-34861-0

  • eBook Packages: Springer Book Archive