Distortion of the exponent of convergence in space.
Bonfert-Taylor, Petra, Bridgeman, Martin, Taylor, Edward C. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Bonfert-Taylor, Petra, Bridgeman, Martin, Taylor, Edward C. (2004)
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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Gutlyanskij, V.Ya., Martio, O., Ryazanov, V.I., Vuorinen, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Cristea, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Tong, Yuxia, Gu, Jiantao, Li, Ying (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Ewa Ligocka (1998)
Colloquium Mathematicae
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Gehring, F.W., Iwaniec, T. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Mayer, Volker (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Luděk Kleprlík (2014)
Open Mathematics
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Let Ω ⊂ ℝn be an open set and X(Ω) be any rearrangement invariant function space close to L q(Ω), i.e. X has the q-scaling property. We prove that each homeomorphism f which induces the composition operator u ↦ u ℴ f from W 1 X to W 1 X is necessarily a q-quasiconformal mapping. We also give some new results for the sufficiency of this condition for the composition operator.
Bishop, Christopher J., Gutlyanskiĭ, Vladimir Ya., Martio, Olli, Vuorinen, Matti (2003)
International Journal of Mathematics and Mathematical Sciences
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Martio, O., Ryazanov, V., Srebo, U., Yakubov, E. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Rajala, Kai (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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