Remarks on the conditions for unique extremality of quasiconformal mappings.
Reich, Edgar (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “Teichmüller spaces with variable bases in the universal Teichmüller space.”
Remarks on the conditions for unique extremality of 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.
An inverse Sobolev lemma.
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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.