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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Bibliografy
S. AGARD Angles and qc mappings in space J. Analyse Math. 22, 177–200 (1969).
P. CARAMAN N-dimensional quasiconformal mappings Edi. Ac. Bucuresti Romania, Abacus Press Tunbridge Wells, Kent, England (1974).
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
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