Results 131 to 140 of about 5,713 (169)

Iteration of Quasiconformal Maps

Qualitative Theory of Dynamical Systems
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Zhang, Xu, Wang, Yukai, Chen, Guanrong
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On Approximations of quasiconformal mappings

Complex Variables, Theory and Application: An International Journal, 1984
Let (fn ) be a sequence of K−qc mappings of a domain G which tends locally uniformly to a mapping f≠ const. Then it is known that f is K – qc in G. It is shown that the local dilatations Dn(z) and D(z) satisfy a.e. in G. If there is equality on a set of positive measure E ⊃ G, there exists a subsequence (fn1 ) which is a good approximation of fon E ...
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Extremal Quasiconformal Mappings

Results in Mathematics, 1986
Es 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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ON THE THEORY OF EXTREMAL QUASICONFORMAL MAPPINGS

Mathematics of the USSR-Sbornik, 1979
In this work criteria are established for the extremality of both quasiconformal deformations of open Riemann surfaces of hyperbolic type and Kleinian groups of the mappings in homotopy classes modulo ideal boundaries. The existence of generalized harmonic quasiconformal mappings in these classes is shown. Bibliography: 17 titles.
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A New Criterion for Quasiconformal Mapping

The Annals of Mathematics, 1957
1. A quasiconformal mapping as originally envisaged by Grdtzsch [4] is in its simplest form a continuously differentiable mapping from a plane domain onto another plane domain or onto a Riemann covering surface. The condition of quasiconformality is then expressed roughly by saying that apart from branch points an infinitesimal circle goes into an ...
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Quasiconformal mapping

2023
Richard Beals, Roderick S. C. Wong
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On the boundary behavior of weak (p; q)-quasiconformal mappings

Journal of Mathematical Sciences, 2023
E A Sevost'Yanov, Alexander Ukhlov, V Gol'Dshteĭn   +2 more
exaly  

Harmonic, locally quasiconformal mappings

1995
Summary: Classes \(H(\alpha,K)\) of functions \(f(z)=h(z)+\overline{g(z)}\), which are harmonic in \(\Delta=\{z:| z| < 1\}\) (\(h(z)\) and \(g(z)\) are regular in \(\Delta\)), preserve the orientation \((J(z)>0)\), are \(K\)-quasiconformal in \(\Delta\), are considered, where \(f(0)=0\), \(h(0)+\overline {g'(0)}=1\), \(\frac{h(z)}{h'(0)}\) belongs to a
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Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings

Journal of Mathematical Sciences, 2021
Alexander Menovschikov, Alexander Ukhlov   +1 more
exaly  

On Quasiconformal Mappings

Journal d'Analyse Mathématique, 1953
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