Normal families, multiplicity and the branch set of quasiregular maps.
Martio, O., Srebro, U., Väisälä, J. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Martio, O., Srebro, U., Väisälä, J. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Martio, O., Ryazanov, V., Srebo, U., Yakubov, E. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Hästö, Peter A. (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Buckley, Stephen M. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Harjulehto, Petteri (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Nieminen, Tomi (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Koskela, P., Rogovin, S. (2005)
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Hakobyan, Hrant, Herron, David A. (2008)
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Holopainen, Ilkka, Pankka, Pekka (2004)
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Shanmugalingam, Nageswari (2004)
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Cristea, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Robert Kaufman, Jeremy T. Tyson, Jang-Mei Wu (2005)
Publications Mathématiques de l'IHÉS
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According to a theorem of Martio, Rickman and Väisälä, all nonconstant C-smooth quasiregular maps in , ≥3, are local homeomorphisms. Bonk and Heinonen proved that the order of smoothness is sharp in . We prove that the order of smoothness is sharp in . For each ≥5 we construct a C-smooth quasiregular map in with nonempty branch set.
Stephen M. Buckley, Alexander Stanoyevitch (2001)
Revista Matemática Iberoamericana
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We investigate geometric conditions related to Hölder imbeddings, and show, among other things, that the only bounded Euclidean domains of the form U x V that are quasiconformally equivalent to inner uniform domains are inner uniform domains.