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Removable Sets for Quasiconformal Mappings [PDF]
Indiana University Mathematics Journal, 1969 openaire +2 more sources
Holomorphic embedding of complex curves in spaces of constant holomorphic curvature. [PDF]
Proc Natl Acad Sci U S A, 1972 Chavel I, Rauch HE.
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Boundary correspondence under quasiconformal mappings.
Michigan Mathematical Journal, 1966 openaire +3 more sources
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Extremal Quasiconformal Mappings
Results in Mathematics, 1986Es wird eine Einführung und eine Übersicht gegeben über extremale quasikonforme Abbildungen (in ebenen Gebieten und auf Riemannschen Flächen). Mit der heutigen Definition ist das Existenzproblem sofort lösbar, hingegen sind verschiedene Eindeutigkeitsfragen immer noch offen (vor allem bei Randwertproblemen). Der Verf.
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Journal d'Analyse Mathématique, 2001
Let \(f\) denote an ACL sense-preserving open and discrete mapping defined in a domain of the complex plane (where ACL stands for absolutely continuous on lines). Then the complex dilatation \(\mu(z)=\overline \partial f(z)/ \partial f(z)\) with \(|\mu |
Ryazanov, V., Srebro, U., Yakubov, E.
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Let \(f\) denote an ACL sense-preserving open and discrete mapping defined in a domain of the complex plane (where ACL stands for absolutely continuous on lines). Then the complex dilatation \(\mu(z)=\overline \partial f(z)/ \partial f(z)\) with \(|\mu |
Ryazanov, V., Srebro, U., Yakubov, E.
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Parametric Representations of Quasiconformal Mappings
Acta Mathematica Scientia, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Zhenlian, Shi, Qingtian
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Discrete quasiconformal mappings
Zeitschrift für angewandte Mathematik und Physik ZAMP, 1978Some basic properties of quasiconformal mappings are reviewed which leads to the development of discrete analogs of quasiconformal mappings of a multiply connected domain onto a rectangular domain with slits. These discrete mappings can be constructed by solving a system of equations.
Mastin, C. Wayne, Thompson, Joe F.
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Iteration of Quasiconformal Maps
Qualitative Theory of Dynamical SystemszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Xu, Wang, Yukai, Chen, Guanrong
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Extremal quasiconformal mappings
2006Abstract In this chapter, we investigate extremal quasiconformal mappings, which are extremal in the sense of minimizing the ∞ over all Beltrami differentials corresponding to quasiconformal mappings in the Teichmuoller equivalence class. Extremal mappings always exist, but need not be unique, as is shown in several examples. We show how
A Fletcher, V Markovic
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Univalent Σ-harmonic mappings: connections with quasiconformal mappings
Journal d'Analyse Mathématique, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Alessandrini, NESI, Vincenzo
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