Mappings of finite distortion: Removability of Cantor sets.

Rajala, Kai

Displaying similar documents to “Mappings of finite distortion: Removability of Cantor sets.”

Infinitesimal geometry of quasilinear mappings.

Gutlyanskij, V.Ya., Martio, O., Ryazanov, V.I., Vuorinen, M. (2000)

Annales Academiae Scientiarum Fennicae. Mathematica

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Nonremovable Cantor sets for bounded quasiregular mappings.

Rickman, Seppo (1995)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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A new inequality for weakly $(K_{1}, K_{2})$ -Quasiregular mappings.

Tong, Yuxia, Gu, Jiantao, Li, Ying (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Lindelöf-type theorems for quasiconformal and quasiregular mappings

Matti Vuorinen (1983)

Banach Center Publications

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On conformal dilatation in space.

Bishop, Christopher J., Gutlyanskiĭ, Vladimir Ya., Martio, Olli, Vuorinen, Matti (2003)

International Journal of Mathematics and Mathematical Sciences

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On local injectivity and asymptotic linearity of quasiregular mappings

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 $x_{0}$ implies the local injectivity and the asymptotic linearity of f at $x_{0}$ . Sufficient conditions for $l o g | f (x) - f (x_{0}) |$ to behave asymptotically as $l o g | x - x_{0} |$ are given. Some global injectivity results are derived.