A bound for reflections across Jordan curves.
Krushkal, Samuel L. (2003)
Georgian Mathematical Journal
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Krushkal, Samuel L. (2003)
Georgian Mathematical Journal
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Dariusz Partyka (1991)
Annales Polonici Mathematici
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We give a distortion theorem for quasiconformal automorphisms of the unit disk and its application to improving some results due to Douady and Earle.
Gong, Jianhua (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30C60 A more general version of Hilbert's fifth problem, called the Hilbert-Smith conjecture, asserts that among all locally compact topological groups only Lie groups can act effectively on finite-dimensional manifolds. We give a solution of the Hilbert-Smith Conjecture for K - quasiconformal groups acting on domains in the extended n - dimensional Euclidean space.
Zakeri, Saeed (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Dariusz Partyka (1995)
Banach Center Publications
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This paper provides sufficient conditions on a quasisymmetric automorphism γ of the unit circle which guarantee the existence of the smallest positive eigenvalue of γ. They are expressed by means of a regular quasiconformal Teichmüller self-mapping φ of the unit disc Δ. In particular, the norm of the generalized harmonic conjugation operator is determined by the maximal dilatation of φ. A characterization of all eigenvalues of a quasisymmetric automorphism γ in terms of the smallest...
Miodrag Mateljević (2004)
Zbornik Radova
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Zapadinskaya, Aleksandra (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Krushkal, Samuel L. (2001)
Georgian Mathematical Journal
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Dariusz Partyka, Ken Sakan, Józef Zając (1999)
Banach Center Publications
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Different aspects of the boundary value problem for quasiconformal mappings and Teichmüller spaces are expressed in a unified form by the use of the trace and extension operators. Moreover, some new results on harmonic and quasiconformal extensions are included.
Clop, Albert (2007)
Annales Academiae Scientiarum Fennicae. Mathematica
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Keiichi Shibata (1996)
Banach Center Publications
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Solutions to Beltrami differential equation with prescribed boundary correspondence in some plane domains are given.
Samsonia, Z., Zivzivadze, L. (2002)
Georgian Mathematical Journal
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