Lindelöf-type theorems for quasiconformal and quasiregular mappings
Matti Vuorinen (1983)
Banach Center Publications
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Matti Vuorinen (1983)
Banach Center Publications
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Juha Heinonen (1989)
Revista Matemática Iberoamericana
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In this paper we study quasiconformal homeomorphisms of the unit ball B = B = {x ∈ R: |x| < 1} of R onto John domains. We recall that John domains were introduced by F. John in his study of rigidity of local quasi-isometries [J]; the term John domain was coined by O. Martio and J. Sarvas seventeen years later [MS]. From the various equivalent characterizations we shall adapt the following definition based on diameter carrots, cf. [V4], [V5], [NV].
Abdulhadi, Zayid, Abumuhanna, Yusuf (2003)
International Journal of Mathematics and Mathematical Sciences
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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.
Sugawa, Toshiyuki (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Astala, Kari (1998)
Documenta 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.
E. R. Hedrick, Louis Inglold (1923)
Journal de Mathématiques Pures et Appliquées
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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.
Angus E. Taylor (1937)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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