On boundary correspondence under quasiconformal mappings.
Gutlyanskij, V.Ya., Ryazanov, V.I. (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Displaying similar documents to “Boundary behaviour of quasiconformal mappings in normed spaces”
On boundary correspondence under quasiconformal mappings.
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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.
Quasiconformality and equivalent norms
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We study the behaviour of a quasiconformal mapping when we change the norms of the considered normed spaces by other equivalent norms. We propose a new metric definition with which we can study the interdependence between a quasiconformal homeomorphism and the new equivalent norms of the normed spaces.