-mappings and quasiconformal mappings in normed spaces
Giovanni Porru (1977)
Rendiconti del Seminario Matematico della Università di Padova
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Giovanni Porru (1977)
Rendiconti del Seminario Matematico della Università di Padova
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Kovalev, Leonid V. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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V. Gutlyanskiĭ, O. Martio, V. Ryazanov, M. Vuorinen (1998)
Studia Mathematica
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It is shown that the approximate continuity of the dilatation matrix of a quasiregular mapping f at implies the local injectivity and the asymptotic linearity of f at . Sufficient conditions for to behave asymptotically as are given. Some global injectivity results are derived.
Strebel, Kurt (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Mayer, Volker (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Tyutyuev, A.V., Shlyk, V.A. (2004)
Zapiski Nauchnykh Seminarov POMI
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V. P. Mićić (1972)
Matematički Vesnik
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Gutlyanskij, V.Ya., Ryazanov, V.I. (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Kovalev, Leonid V. (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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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.
González, María J., Nicolau, Artur (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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