Some differential operators connected with quasiconformal deformations on manifold
A. Pierzchalski (1987)
Banach Center Publications
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A. Pierzchalski (1987)
Banach Center Publications
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Reich, Edgar (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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Gong, Jianhua (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Reiner Kühnau (2011)
Annales UMCS, Mathematica
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We study a dual analogue of the class Σ(κ) of hydrodynamically normalized schlicht conformal mappings g(z) of the exterior of the unit circle with a [...] -quasiconformal extension, namely now those (non-schlicht) mappings g(z) for which g(z) has such a quasiconformal extension.
V. P. Mićić (1972)
Matematički Vesnik
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Pekka Koskela (1994)
Revista Matemática Iberoamericana
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We establish an inverse Sobolev lemma for quasiconformal mappings and extend a weaker version of the Sobolev lemma for quasiconformal mappings of the unit ball of R to the full range 0 < p < n. As an application we obtain sharp integrability theorems for the derivative of a quasiconformal mapping of the unit ball of R in terms of the growth of the mapping.
Tyutyuev, A.V., Shlyk, V.A. (2004)
Zapiski Nauchnykh Seminarov POMI
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Kovalev, Leonid V. (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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Kühnau, Reiner (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Krushkal, Samuel L. (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Matsuzaki, Katsuhiko (1995)
Annales Academiae Scientiarum Fennicae. Series A I. 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.