Quasiconformal and harmonic mappings between smooth Jordan domains.
Kalaj, David, Mateljević, Miodrag (2008)
Novi Sad Journal of Mathematics
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Displaying similar documents to “Invertible harmonic mappings beyond the Kneser theorem and quasiconformal harmonic mappings”
Quasiconformal and harmonic mappings between smooth Jordan domains.
On harmonic quasiconformal quasi-isometries.
Mateljević, M., Vuorinen, M. (2010)
Journal of Inequalities and Applications [electronic only]
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Dirichlet's principle, distortion and related problems for harmonic mappings.
Mateljević, Miodrag (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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Sufficient conditions for quasiconformality of harmonic mappings of the upper halfplane onto itself
Andrzej Michalski (2008)
Annales UMCS, Mathematica
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In this paper we introduce a class of increasing homeomorphic self-mappings of R. We define a harmonic extension of such functions to the upper halfplane by means of the Poisson integral. Our main results give some sufficient conditions for quasiconformality of the extension.
Boundary correspondence under quasiconformal harmonic diffeomorphisms of a half-plane.
Kalaj, David, Pavlović, Miroslav (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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On boundary correspondence under quasiconformal mappings.
Gutlyanskij, V.Ya., Ryazanov, V.I. (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Point shift differentials and extremal quasiconformal mappings.
Strebel, Kurt (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Continuously removable sets for quasiconformal mappings.
Tyutyuev, A.V., Shlyk, V.A. (2004)
Zapiski Nauchnykh Seminarov POMI
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A theorem of Lindelöf type for quasiconformal mappings in space
V. P. Mićić (1972)
Matematički Vesnik
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On a theorem of Lindelöf
Vladimir Gutlyanskii, Olli Martio, Vladimir Ryazanov (2011)
Annales UMCS, Mathematica
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We give a quasiconformal version of the proof for the classical Lindelöf theorem: Let f map the unit disk D conformally onto the inner domain of a Jordan curve C. Then C is smooth if and only if arh f'(z) has a continuous extension to D. Our proof does not use the Poisson integral representation of harmonic functions in the unit disk.
Hölder spaces of quasiconformal mappings.
Kovalev, Leonid V. (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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Univalent harmonic mappings between Jordan domains.
Kaljaj, David (2001)
Publications de l'Institut Mathématique. Nouvelle Série
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-mappings and quasiconformal mappings in normed spaces
Giovanni Porru (1977)
Rendiconti del Seminario Matematico della Università di Padova
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