On -homeomorphisms.
Martio, O., Ryazanov, V., Srebo, U., Yakubov, E. (2005)
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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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.
Cristea, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Tossavainen, Timo (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Chernavsky, A.V. (2006)
Abstract and Applied Analysis
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Gutlyanskij, V.Ya., Martio, O., Ryazanov, V.I., Vuorinen, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Hästö, Peter A. (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Koskela, P., Rogovin, S. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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E. Ferreyra, T. Godoy, M. Urciuolo (1998)
Colloquium Mathematicae
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Let be the graph of the function defined by with 1< and let the measure on induced by the Euclidean area measure on S. In this paper we characterize the set of pairs (p,q) such that the convolution operator with is - bounded.
Novotny, Antonin (1997)
Portugaliae Mathematica
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Nieminen, Tomi (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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