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Global Integrability of the Derivative of a Quasiconformal Mapping
Authors:Tomi Nieminen
Affiliation:(1) Department of Mathematics and Statistics, University of Jyväskylä, Jyväskylä, P.O. Box 35, 40014, Finland
Abstract:We establish an essentially sharp growth condition on the quasihyperbolic metric of a domain $$Omegasubset mathbf{R}^n$$ sufficient for the global higher integrability of the derivative of a quasiconformal mapping$$f:Omega'rightarrow Omega$$.
Keywords:Primary 30C65
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